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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Turaev cobracket; Goldman bracket; Lie bialgebra; Hodge theory Transcendental methods, Hodge theory (algebro-geometric aspects), Families, moduli of curves (algebraic), de Rham theory in global analysis, Lie bialgebras; Lie coalgebras, 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) Hodge theory of the Turaev cobracket and the Kashiwara-Vergne problem
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory moduli space of curves; double ramification cycle; universal Jacobian Families, moduli of curves (algebraic), Jacobians, Prym varieties Compactified universal Jacobian and the double ramification cycle
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Kähler geometry; projective geometry; Hodge conjecture; Kähler cone; pseudo-effective cone; topology of complex manifolds Voisin, C.: Recent progresses in Kähler and complex algebraic geometry. In: European Congress of Mathematics, pp. 787-807. Eur. Math. Soc., Zürich (2005) Kähler manifolds, Analytic sheaves and cohomology groups, Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, Transcendental methods, Hodge theory (algebro-geometric aspects), Topological aspects of complex manifolds, Compact Kähler manifolds: generalizations, classification Recent progresses in Kähler and complex algebraic geometry
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Jacobian conjecture; Riemann-Hurwitz-relation Dru\.zkowski, LM, A geometric approach to the Jacobian conjecture in \({\mathbb{C}}^{2}\), Ann. Polon. Math., 55, 95-101, (1991) Automorphisms of curves, Holomorphic mappings and correspondences, Polynomial rings and ideals; rings of integer-valued polynomials, Riemann surfaces; Weierstrass points; gap sequences A geometric approach to the Jacobian conjecture in \(\mathbb{C}^ 2\)
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Grassmannians, Schubert varieties, flag manifolds, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Positive matrices and their generalizations; cones of matrices, Polytopes and polyhedra Erratum to: ``Moment curves and cyclic symmetry for positive Grassmannians''
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Motivic cohomology; motivic homotopy theory, Homogeneous spaces and generalizations, (Equivariant) Chow groups and rings; motives, Positive characteristic ground fields in algebraic geometry, Linear algebraic groups over arbitrary fields Correction to: ``Motivic decomposition of projective pseudo-homogeneous varieties''
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory M. Abe, M. Furushima, andM. Yamasaki, Analytic compactifications of \(\mathbb{C}\)2/G.Kyushu J. Math. 54 (2000), 87--101. Compactification of analytic spaces, Rational and ruled surfaces, Compact complex surfaces Analytic compactifications of \(\mathbb{C}^2/G\)
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory External book reviews, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, (Equivariant) Chow groups and rings; motives, Arcs and motivic integration, Étale and other Grothendieck topologies and (co)homologies, Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Models of other mathematical theories, Collections of articles of miscellaneous specific interest Book review: Raf Cluckers (ed.), Johannes Nicaise (ed.), Julien Sebag (ed.), Motivic integration and its interactions with model theory and non-archimedean geometry. Volumes I and II
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory total reality; meromorphic function; real curves on ellipsoid, \(K3\)-surface Degtyarev, A., Ekedahl, T., Itenberg, I., Shapiro, B., Shapiro, M.: On total reality of meromorphic functions. Ann. Inst. Fourier (Grenoble) \textbf{57}(6), 2015-2030 (2007). http://aif.cedram.org/item?id=AIF_2007_57_6_2015_0 Real algebraic sets, \(K3\) surfaces and Enriques surfaces, Topology of real algebraic varieties On total reality of meromorphic functions
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory integrable systems; Painlevé equations; difference equations; isomonodromic transformations; birational transformations; Painlevé property Dzhamay, Anton and Takenawa, Tomoyuki, Geometric analysis of reductions from {S}chlesinger transformations to difference {P}ainlevé equations, Algebraic and Analytic Aspects of Integrable Systems and {P}ainlevé Equations, Contemp. Math., 651, 87-124, (2015), Amer. Math. Soc., Providence, RI Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies, Isomonodromic deformations for ordinary differential equations in the complex domain, Birational automorphisms, Cremona group and generalizations Geometric analaysis of reductions from Schlesinger transformations to difference Painlevé equations
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory $K$-theory; algebraic cycles; Chow groups; lci algebraic cycles Algebraic cycles, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Applications of methods of algebraic \(K\)-theory in algebraic geometry, (Equivariant) Chow groups and rings; motives Some elementary remarks on lci algebraic cycles
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory bibliography; orthogonal reflections; regular polyhedra; Gosset; polyhedra; survey; basic invariants of reflection groups; diameter theory of algebraic surfaces; skew reflections V. F. Ignatenko, ''Some problems in the geometrical theory the invariants of groups generated by orthogonal and oblique reflections'', In:Problemy Geometrii, Vol. 16, Itogi Nauki i Tekhn., All-Union Institute for Scientific and Technical Information (VINITI), Akad. Nauk SSSR, Moscow (1984), pp. 195--229. Reflection groups, reflection geometries, Polyhedra and polytopes; regular figures, division of spaces, Geometric invariant theory, Group actions on varieties or schemes (quotients), Other algebraic groups (geometric aspects), Other geometric groups, including crystallographic groups, Orthogonal and unitary groups in metric geometry Some questions in the geometric theory of invariants of groups generated by orthogonal and oblique reflections
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory group actions; orbits; symplectic quotient Geometric invariant theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Group actions on varieties or schemes (quotients) Some words about the geometric invariant theory
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Motivic cohomology; motivic homotopy theory, Abstract and axiomatic homotopy theory in algebraic topology, Classical problems, Schubert calculus, Homotopy theory and fundamental groups in algebraic geometry, Degree, winding number, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry An introduction to \(\mathbb{A}^1\)-enumerative geometry. Based on lectures by Kirsten Wickelgren delivered at the LMS-CMI research school ``Homotopy theory and arithmetic geometry -- motivic and Diophantine aspects''
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory real spectrum; finitely generated groups; hyperbolic structures; real compactification; boundary points Compactification of analytic spaces, Semialgebraic sets and related spaces, Triangulating manifolds, Linear algebraic groups and related topics Compactification via the real spectrum of spaces of classes of representations in \(SO(n,1)\)
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Donaldson invariants; determinant line bundles; wall-crossing formulas; modular forms Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kōta, \(K\)-theoretic Donaldson invariants via instanton counting, Pure Appl. Math. Q., 5, 3, Special Issue: In honor of Friedrich Hirzebruch., 1029-1111, (2009) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Applications of global analysis to structures on manifolds, Yang-Mills and other gauge theories in quantum field theory \(K\)-theoretic Donaldson invariants via instanton counting
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory unirationality of quartic fivefold Rational and unirational varieties, Hypersurfaces and algebraic geometry, \(n\)-folds (\(n>4\)) On a theorem of Morin on the unirationality of the quartic fivefold.
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory hypergeometric series; Euler class; localisation formula; equivariant cohomology; Calabi-Yau manifold; enumerative geometry; moduli of stable maps Calabi-Yau manifolds (algebro-geometric aspects), Enumerative problems (combinatorial problems) in algebraic geometry, Algebraic moduli problems, moduli of vector bundles, Characteristic classes and numbers in differential topology, Equivariant homology and cohomology in algebraic topology Towards a mirror principle for higher genus.
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Jacobian; Veronese manifold Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations), Grassmannians, Schubert varieties, flag manifolds Un nouveau théorème sur la variété de Veronese. (A new theorem about Veronese manifolds)
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Elimination; space; dimensions; algebraic structure; degree; intersection; proving a theorem Enumerative problems (combinatorial problems) in algebraic geometry, Equations in general fields, Real-analytic and semi-analytic sets, Research exposition (monographs, survey articles) pertaining to algebraic geometry About the theory of elimination.
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory The structure of fields of algebraic functions Algebraic functions and function fields in algebraic geometry On a new fundamental theorem in the theory of algebraic functions of one variable.
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Varieties and morphisms An affine Bézout type theorem and projective completions of affine varieties
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory degeneration of Drinfeld module Van der Put, Marius; Top, Jaap, Algebraic compactification and modular interpretation, (Drinfeld Modules, Modular Schemes and Applications, (1997), World Sci. Publ.), 141-166 Formal groups, \(p\)-divisible groups, Drinfel'd modules; higher-dimensional motives, etc., Families, moduli of curves (algebraic) Algebraic compactification and modular interpretation
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to differential geometry, Collections of articles of miscellaneous specific interest Phenomenological approach to algebraic geometry
| 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus Note: Erratum to ``Gromov-Witten invariants and rational curves on Grassmannians''
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory algebraically closed fields; real closed fields; quantifier elimination; diagrams Quantifier elimination, model completeness, and related topics, Model theory of fields, Semialgebraic sets and related spaces A model-theoretic criterion for quantifier elimination and its application to geometry
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory representation of semi-simple groups; Poincaré series; theory of invariants Springer, T. A.: Contribution to open problems in algebraic groups, (1983) Geometric invariant theory, Group actions on varieties or schemes (quotients), Homological methods in commutative ring theory, Representation theory for linear algebraic groups Séries de Poincaré dans la théorie des invariants. (Poincaré series in the theory of invariants)
| 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Chern classes; bivariant theory Global theory of complex singularities; cohomological properties, Cycles and subschemes Chern classes in bivariant theory definitions of Brasselet and of Sabbah
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Kunyavskii, B. E.; Tsfasman, M. A.: Brauer-Siegel theorem for elliptic surfaces, Int. math. Res. not. 2008, No. 8 (2008) \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Erratum to: Brauer-Siegel theorem for elliptic surfaces
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory \(k\)-triangulation; triangulated sphere; enumerative combinatorics; pipe dream; Schubert polynomial Stump, Christian, A new perspective on \(k\)-triangulations, J. Comb. Theory, Ser. A, 118, 6, 1794-1800, (2011) Symmetric functions and generalizations, Classical problems, Schubert calculus A new perspective on \(k\)-triangulations
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Gaitsgory, D., Progrès récents dans la théorie de Langlands géométrique, Séminaire Bourbaki, vol. 2015/2016, exposé no. 1109, Astérisque, 390, (2017) Geometric Langlands program (algebro-geometric aspects), Vector bundles on curves and their moduli Recent progress in geometric Langlands theory
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Mordell conjecture; rational points; Thue's method E. Bombieri , The Mordell conjecture revisited , Ann. Scuola Norm. Sup. Pisa Cl. Sci. 17 ( 1990 ) 615 - 640 . - Erratum. Ann. Scuola Norm. Sup. Pisa Cl. Sci. 18 ( 1991 ) 473 . Numdam | MR 1093712 | Zbl 0763.14007 Rational points, Arithmetic ground fields for curves, Higher degree equations; Fermat's equation, Curves of arbitrary genus or genus \(\ne 1\) over global fields Errata: The Mordell conjecture revisited
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory nearby cycles; perverse sheaf; intersection homology; Milnor fibre; sheaf of nearby cycles; adjoint quotient map; holonomy of the local system; monodromy actions Grinberg, Mikhail, A generalization of Springer theory using nearby cycles, Represent. Theory, 2, 410-431 (electronic), (1998) Semisimple Lie groups and their representations, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) A generalization of Springer theory using nearby cycles
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory tensor rank; asymptotic rank; matrix multiplication complexity; slice rank Secant varieties, tensor rank, varieties of sums of powers, Multilinear algebra, tensor calculus, Research exposition (monographs, survey articles) pertaining to linear algebra, Research exposition (monographs, survey articles) pertaining to algebraic geometry Towards a geometric approach to Strassen's asymptotic rank conjecture
| 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory algebraic surfaces; reciprocal surfaces; singularities Euclidean analytic geometry, Questions of classical algebraic geometry, Singularities of surfaces or higher-dimensional varieties Note on the theory of reciprocal surfaces
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory De Loera, Jesús A.; Hemmecke, Raymond; Köppe, Matthias, Algebraic and geometric ideas in the theory of discrete optimization, MOS-SIAM Series on Optimization, vol. 14, (2013), SIAM Research exposition (monographs, survey articles) pertaining to operations research and mathematical programming, Integer programming, Computational aspects in algebraic geometry Algebraic and geometric ideas in the theory of discrete optimization
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory differential algebraic variety Wu, W. T.: On the foundation of algebraic differential geometry. J. sys. \& math. Sci. 2, No. 4, 290-312 (1989) Relevant commutative algebra, Differential algebra, Modules of differentials On the foundation of algebraic differential geometry
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory rings of invariants of algebraic groups; minimal system of generators; Chevalley sections; homological dimension of rings of invariants; representation theory; birational invariant theory V. L. Popov: Modern developments in invariant theory. Proc. Inter. Congr. Math. Berkeley Calif., vol. 1, pp. 394-406 (1986). Group actions on varieties or schemes (quotients), Representation theory for linear algebraic groups, Geometric invariant theory Modern developments in invariant theory
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory rank of tensors; salmon conjecture; secant varieties S. Friedland and E. Gross, \textit{A proof of the set-theoretic version of the salmon conjecture}, J. Algebra, 356 (2012), pp. 374--379. Elementary questions in algebraic geometry, Multilinear algebra, tensor calculus A proof of the set-theoretic version of the salmon conjecture
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Azumaya algebra; invariant theory; Brauer group; minimal system of generators for invariants Hürlimann, W.: Sur le groupe de Brauer d'un anneau de polynômes en caracteristique p et la théorie des invariants. Thesis (1980) Brauer groups of schemes, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Brauer groups (algebraic aspects), Geometric invariant theory, Galois cohomology Sur le groupe de Brauer d'un anneau de polynômes en caractéristique \(p\) et la théorie des invariants
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory constructivism; Galois theory; factorization of polynomials; splitting field; binary quadratic forms; composition of forms; Newton's polygon; genus; theorem of Riemann-Roch; Sylow's theorems Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry Essays in constructive mathematics. With contribution by David A. Cox
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory algebraic curve; positive characteristic; Belyi map; covering Dessins d'enfants theory, Coverings of curves, fundamental group, Effectivity, complexity and computational aspects of algebraic geometry An effective version of Belyĭ's theorem in positive characteristic
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory quantum Grassmannian; sagbi basis; quantum Plücker relations; quadratic Gröbner basis; quantum Schubert varieties Sottile, Frank; Sturmfels, Bernd, A sagbi basis for the quantum Grassmannian, J. Pure Appl. Algebra, 158, 2-3, 347-366, (2001) Computational aspects of higher-dimensional varieties, Grassmannians, Schubert varieties, flag manifolds, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Rings with straightening laws, Hodge algebras, Determinantal varieties A sagbi basis for the quantum Grassmannian
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Gromow-Witten theories; infinite-dimensional Lie groups Feigin, E.: N=1 formal genus 0 Gromov-Witten theories and givental's formalism Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) \(N=1\) formal genus zero Gromov-Witten theories and Givental's formalism
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory limit linear series; positive characteristic; Brill-Noether theorem Osserman, B, A simple characteristic-free proof of the brill-Noether theorem, Bull. Braz. Math. Soc., 45, 807-818, (2014) Special divisors on curves (gonality, Brill-Noether theory) A simple characteristic-free proof of the Brill-Noether theorem
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory algebra of invariant polynomials; algebraic quotients of reductive groups; Hilbert-Mumford group; representation of classical groups Kraft, H., Geometricheskie metody v teorii invariantov (Geometric Methods in Invariant Theory), Moscow, 1987. Geometric invariant theory, Group actions on varieties or schemes (quotients), Representation theory for linear algebraic groups, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Vector and tensor algebra, theory of invariants, Groups acting on specific manifolds Geometric methods in the theory of invariants. (Geometricheskie metody v teorii invariantov). Transl. from the 2nd German ed. by D. I. Panyushev. Transl. ed. and with a preface by V. L. Popov
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory instanton; Bott periodicity; generating variety; commutator D. Kishimoto, Generating varieties, Bott periodicity and instantons , Topology Appl. 157 (2010), 657-668. Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory, Homology and homotopy of \(B\mathrm{O}\) and \(B\mathrm{U}\); Bott periodicity, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Feynman integrals and graphs; applications of algebraic topology and algebraic geometry Generating varieties, Bott periodicity and instantons
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory affine curve linebundle; quadratic potential; Neumann's system; Burchnall-Chaundy-Krichever theory; Lax equations; constants of motion Flaschka H.: Towards an algebro-geometric interpretation of the Neumann system. Tohoku Math. J. (2) 36(3), 407--426 (1984) Partial differential equations of mathematical physics and other areas of application, General topics in linear spectral theory for PDEs, Curves in algebraic geometry Towards an algebro-geometric interpretation of the Neumann system
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory gluing of charts; topology of curves; Viro method; real algebraic varieties; Newton polyhedra; pseudo-holomorphic curves Itenberg I., Shustin E. (2002). Combinatorial patchworking of real pseudo-holomorphic curves. Turkish J. Math. 26(1): 27--51 Topology of real algebraic varieties, Plane and space curves, Topological properties in algebraic geometry, Pseudoholomorphic curves Combinatorial patchworking of real pseudo-holomorphic curves
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory complete intersection; Grothendieck group; Chern classes; \(\gamma\)-filtration; algebraic cycles Mandal, S.: Complete intersection K-theory and Chern classes. Math. Z. 227, 423-454 (1998) \(K\)-theory of schemes, Complete intersections, Linkage, complete intersections and determinantal ideals, \(K_0\) of other rings, Stability for projective modules, Projective and free modules and ideals in commutative rings Complete intersection \(K\)-theory and Chern classes
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Fano threefold; algebraic compactification of complex 3-space \(3\)-folds, Compactification of analytic spaces Corrigendum to: ``Compactifications of \(\mathbb{C}^ 3\). II''
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Kähler manifold; symplectic manifold; Torelli theorem; K3-surface; Douady space Debarre O. , 'Un contre-exemple au théorème de Torelli pour les variétés symplectiques irréductibles', C. R. Acad. Sci. Paris Sé r. I Math. 299 (1984) 681--684. Transcendental methods of algebraic geometry (complex-analytic aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), General geometric structures on manifolds (almost complex, almost product structures, etc.), Special surfaces, Hodge theory in global analysis Un contre-exemple au théorème de Torelli pour les variétés symplectiques irréductibles. (A counterexample to the Torelli theorem for irreducible symplectic manifolds)
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory irreducibility of polynomials; number fields; Hilbert irreducibility theorem; effective version; height Hilbertian fields; Hilbert's irreducibility theorem, Polynomials (irreducibility, etc.), Heights, Global ground fields in algebraic geometry An effective version of Hilbert's irreducibility theorem
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory effective proof of Hilbert's irreducibility theorem; cubic polynomial; cubic surface; Galois group Ekedahl, T.: An effective version of Hilbert's irreducibility theorem. In: Goldstein, C. (ed.) Séminaire de Théorie des Nombres, Paris 1988-1989, Progress in Mathematics 91, Birkhäuser, Basel Hilbertian fields; Hilbert's irreducibility theorem, Picard groups, Relevant commutative algebra, Effectivity, complexity and computational aspects of algebraic geometry An effective version of Hilbert's irreducibility theorem
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Manin, Yu. I., Cyclotomy and analytic geometry over \(\mathbb{F}_1\), (Quanta of Maths, Clay Math. Proc., vol. 11, (2010), Amer. Math. Soc.), 385-408 Finite ground fields in algebraic geometry, Relations with noncommutative geometry, Polynomials over commutative rings, Completion of commutative rings, Generalizations (algebraic spaces, stacks) Cyclotomy and analytic geometry over \(\mathbb{F}_1\)
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory toric variety; toric model; Chow group; smooth projective varieties; motivic category; principal homogeneous space Merkurjev, AS; Panin, IA, \(K\)-theory of algebraic tori and toric varieties, K-Theory 12, 2, 101-143, (1997) \(K\)-theory of schemes, Toric varieties, Newton polyhedra, Okounkov bodies, Computations of higher \(K\)-theory of rings, Applications of methods of algebraic \(K\)-theory in algebraic geometry \(K\)-theory of algebraic tori and toric varieties
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Belyi's theorem; abc; moduli of curves W. Goldring, ''Unifying themes suggested by Belyi's theorem,'' in: \textit{Number Theory, Analysis and Geometry}, Springer-Verlag (2011), pp. 181-214. Arithmetic aspects of dessins d'enfants, Belyĭ theory, Diophantine equations, Families, moduli of curves (algebraic), Arithmetic ground fields for curves, Coverings of curves, fundamental group Unifying themes suggested by Belyi's theorem
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory polynomial ideals; toric variety; Gröbner bases I. Al-Ayyoub, Reduced Gröbner basis of certain toric varieties ; A new short proof , Comm. Algebra 37 No. 9 (2009), 2945-2955. Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Toric varieties, Newton polyhedra, Okounkov bodies Reduced Gröbner bases of certain toric varieties; a new short proof
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Rietsch, K. (2006). A mirror construction for the totally nonnegative part of the Peterson variety. Nagoya Math. J. 183 105-142. Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Linear algebraic groups over the reals, the complexes, the quaternions, Positive matrices and their generalizations; cones of matrices, Calabi-Yau manifolds (algebro-geometric aspects) A mirror construction for the totally nonnegative part of the Peterson variety
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Geigle-Lenzing weighted projective varieties; Geigle-Lenzing order; tilting object; expansion of an abelian category B. Lerner and S. Oppermann, \textit{A recollement approach to Geigle-Lenzing weighted projective varieties}, arXiv:1505.01931 Derived categories and associative algebras A recollement approach to Geigle-Lenzing weighted projective varieties
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Artin-Whaples approximation; algebraic variety; global field Varieties over global fields, Local deformation theory, Artin approximation, etc. Artin-Whaples approximations of bounded degree in algebraic varieties
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Kähler fiber space; log Calabi-Yau manifolds; conic Kähler metrics; direct image of log pluricanonical bundles Families, moduli, classification: algebraic theory, Calabi-Yau manifolds (algebro-geometric aspects), Kähler-Einstein manifolds Variation of singular Kähler-Einstein metrics: Kodaira dimension zero (with an appendix by Valentino Tosatti)
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory pro-\(p\) groups of finite rank; \(p\)-adic analytic groups; profinite groups; powerful \(p\)-groups; finite \(p\)-groups; uniform pro-\(p\) groups; residually finite groups; finitely generated groups Dixon, J. D.; du Sautoy, M. P. F.; Mann, A.; Segal, D., Analytic Pro-\(p\) Groups, (1999), Cambridge University Press Research exposition (monographs, survey articles) pertaining to group theory, Limits, profinite groups, Finite nilpotent groups, \(p\)-groups, Analysis on \(p\)-adic Lie groups, Formal groups, \(p\)-divisible groups, Topology of analytic spaces, Non-Archimedean analysis, Differentiable functions on analytic spaces, differentiable spaces Analytic pro-\(p\) groups. Revised and enlarged by Marcus du Sautoy and Dan Segal.
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Belyi's theorem; covers of curves Arithmetic aspects of dessins d'enfants, Belyĭ theory, Dessins d'enfants theory A new proof of Belyi's theorem
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Bott-Samelson varieties; Richardson varieties; RR varieties P. Foth, S. Kim, \textit{Standard Monomial Theory of RR varieties}, preprint, http:// arxiv.org/abs/1009.1645. Grassmannians, Schubert varieties, flag manifolds, Classical groups (algebro-geometric aspects), Classical problems, Schubert calculus, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) Standard monomial theory of RR varieties
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Grassmann manifold; evaluation subgroups Rational homotopy theory, Homology and cohomology of homogeneous spaces of Lie groups, Differentiable structures in differential topology, Grassmannians, Schubert varieties, flag manifolds Derivations of a Sullivan model and the rationalized \(G\)-sequence
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory integral closure; Brianǫn-Skoda theorem; division formula; effectivity M. Elkadi, Une version effective du thèoréme de Briancon Skoda dans le cas algébrique discret, Acta Arith., To appear. Analytic algebras and generalizations, preparation theorems, Integral representations; canonical kernels (Szegő, Bergman, etc.), Effectivity, complexity and computational aspects of algebraic geometry, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) An effective version of the Briançon-Skoda theorem in the discrete algebraic case
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory History of Greek and Roman mathematics, History of algebraic geometry Diophantos und Fermat (zur Geschichte der Methode der Tangenten und Extrema)
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory generalized Chern-Simons theory Schwarz A.: A-model and generalized Chern--Simons theory. Phys. Lett. B 620, 180--186 (2005) Topological field theories in quantum mechanics, Yang-Mills and other gauge theories in quantum field theory, Symplectic aspects of Floer homology and cohomology, Applications of differential geometry to physics, Calabi-Yau manifolds (algebro-geometric aspects) A-model and generalized Chern-Simons theory
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory plane curve; space curve; Cohen-Macaulay ring; arithmetically Cohen- Macaulay curves; perfect ideal of a polynomial ring; ideal of forms vanishing at a finite set of points; Hilbert function of a complete intersection Davis, E. D.; Geramita, A. V.; Maroscia, P., Perfect homogeneous ideals: dubreil's theorems revisited, Bull. Sc. Math., 2e Série, 108, 143-185, (1984) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Ideals and multiplicative ideal theory in commutative rings, Polynomial rings and ideals; rings of integer-valued polynomials, Relevant commutative algebra, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) Perfect homogeneous ideals: Dubreil's theorems revisited
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory deformation retract; semialgebraic set Stein spaces, Real-analytic and semi-analytic sets Deformation retracts and triviality at infinity
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Jacobian of the modular curve; Néron model; Hecke operators; formal group law E. Nart : The formal completion of the Néron model of J0(p) , Publ. Mat. 35 (1991), 537-542. Jacobians, Prym varieties, Modular and Shimura varieties, Formal groups, \(p\)-divisible groups, Drinfel'd modules; higher-dimensional motives, etc., Arithmetic aspects of modular and Shimura varieties The formal completion of the Néron model of \(J_ 0(p)\)
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory split octonion algebra; automorphism group; Lie group of type \(G_2\); symmetric rooms; Bruhat-Tits buildings; standard apartment; Arakelov bundles; invariant flag Composition algebras, Group schemes, Root systems, Groups with a \(BN\)-pair; buildings, Representation theory for linear algebraic groups, Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) Octonions and reduction theory
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Artin-Schreier cover; projective line; zeta zeros; mesoscopic regime Alina Bucur, Chantal David, Brooke Feigon, Matilde Lalín, and Kaneenika Sinha, Distribution of zeta zeroes of Artin-Schreier covers, Math. Res. Lett. 19 (2012), no. 6, 1329 -- 1356. Curves over finite and local fields, Relations with random matrices, Finite ground fields in algebraic geometry Distribution of zeta zeroes of Artin-Schreier covers
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Painlevé equations; isomonodromic deformation; elliptic functions; Riemann-Hilbert problems Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies, Isomonodromic deformations for ordinary differential equations in the complex domain, Elliptic functions and integrals, Relationships between algebraic curves and integrable systems, Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms Algebro-geometric approach to an Okamoto transformation, the Painlevé VI and Schlesinger equations
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Families, moduli of curves (algebraic), Picard groups A geometric interpretation and a new proof of a relation by Cornalba and Harris
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Singularities of curves, local rings, Special divisors on curves (gonality, Brill-Noether theory) On the scrollar invariants of a natural pencil on a partial normalization of certain reducible curves in \(\mathbb{P}^1\times\mathbb{P}^1\)
| 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Gorenstein ring; Auslander-Reiten conjecture; Gorenstein projective modules Families, moduli of curves (algebraic), Representations of orders, lattices, algebras over commutative rings, Syzygies, resolutions, complexes and commutative rings, Homological functors on modules of commutative rings (Tor, Ext, etc.) Progress on the Auslander-Reiten conjecture
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory I. Aniceto and R. Schiappa, \textit{Nonperturbative ambiguities and the reality of resurgent transseries}, arXiv:1308.1115 [INSPIRE]. Perturbative methods of renormalization applied to problems in quantum field theory, Yang-Mills and other gauge theories in quantum field theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Nonperturbative methods of renormalization applied to problems in quantum field theory Nonperturbative ambiguities and the reality of resurgent transseries
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Analytic theory of abelian varieties; abelian integrals and differentials On the theory of the arithmetic geometric mean of four elements.
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory real algebraic variety; \(S^{1}\)-action; algebraic \(K\)-groups Ozan, Y., On algebraic K-theory of real algebraic varieties with circle action, J. Pure Appl. Algebra, 170, 287-293, (2002) Topology of real algebraic varieties, \(K\)-theory of schemes, Grothendieck groups, \(K\)-theory and commutative rings, Geometric applications of topological \(K\)-theory, \(K_0\) of group rings and orders, Applications of methods of algebraic \(K\)-theory in algebraic geometry On algebraic \(K\)-theory of real algebraic varieties with circle action
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Hyperelliptic algebraic curves C. Athorne, J. C. Eilbeck, and V. Z. Enolskii, ''A SL(2) Covariant Theory of Genus 2 Hyperelliptic Functions,'' Math. Proc. Cambridge Philos. Soc. 136(2), 269--286 (2004). Theta functions and curves; Schottky problem, Actions of groups on commutative rings; invariant theory, Special algebraic curves and curves of low genus, Relationships between algebraic curves and integrable systems, Minimal surfaces in differential geometry, surfaces with prescribed mean curvature A \(\text{SL}(2)\) covariant theory of genus 2 hyperelliptic functions
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory homogeneous coordinate ring of a Grassmannian; Poincaré resolution; Koszul complex Grassmannians, Schubert varieties, flag manifolds, (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) A note on the Poincaré resolution of the coordinate ring of the Grassmannian
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory generic width; decisional complexities Montaña, J.L.; Pardo, L.M.; Recio, T., A note of Rabin's width of a complete proof, Computational complexity, 4, 12-36, (1994) Analysis of algorithms and problem complexity, Symbolic computation and algebraic computation, Nash functions and manifolds, Semialgebraic sets and related spaces A note on Rabin's width of a complete proof
| 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Clifford geometric algebras; Grassmannians; matroids; Pauli matrices; Plücker relations Exterior algebra, Grassmann algebras, Grassmannians, Schubert varieties, flag manifolds, Clifford algebras, spinors Notes on Plücker's relations in geometric algebra
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Bernshtein-Kushnirenko-Khovanskii (BKK) bound; Chow form; improper lattice supports; improper rational parametrizations; reparametrization; support transformation L. Shen, E. Chionh, X. S. Gao, and J. Li, Proper reparametrization for inherently improper unirational vaeirties, Journal of Systems Science \& Complexity, 2011, 24(2): 367--380. Computational aspects of higher-dimensional varieties, Rational and unirational varieties Proper reparametrization for inherently improper unirational varieties
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Abhyankar conjecture; Galois cover; fundamental group; ramification theory; lifting problem; finite characteristic Coverings of curves, fundamental group, Curves over finite and local fields, Automorphisms of curves, Research exposition (monographs, survey articles) pertaining to number theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Separable extensions, Galois theory Abhyankar's conjectures in Galois theory: current status and future directions
| 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory groups schemes; abelian varieties; Deuring reduction theorem; complex multiplication Zaytsev, Generalization of Deuring reduction theorem, J. Algebra 392 pp 97-- (2013) Group schemes, Isogeny, Elliptic curves, Witt vectors and related rings, Categorical algebra Generalization of Deuring reduction theorem
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Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Maple system; decomposing affine algebraic varieties of low degree; Gröbner bases Wang, D. M., Irreducible decomposition of algebraic varieties via characteristic set and Gröbner bases, Computer Aided Geometric Design, 9, 471-484, (1992) Computational aspects of algebraic surfaces Irreducible decomposition of algebraic varieties via characteristic sets and Gröbner bases
| 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Fibrations, degenerations in algebraic geometry Erratum to: ``Semi-factorial nodal curves and Néron models of Jacobians''
| 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory reductive complex algebraic group; algebra of invariant polynomial functions; invariant theory of binary cubics Schwarz, G. W.: On classical invariant theory and binary cubics. Ann. inst. Fourier 37, 191-216 (1987) Geometric invariant theory, Linear algebraic groups over the reals, the complexes, the quaternions, Vector and tensor algebra, theory of invariants On classical invariant theory and binary cubics
| 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory period integrals; Frobenius structure; simple singularities; vertex operators Structure of families (Picard-Lefschetz, monodromy, etc.), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Vertex operators; vertex operator algebras and related structures \(\mathcal{W}\)-algebra constraints and topological recursion for \({A}_N\)-singularity (with an appendix by Danilo Lewanski)
| 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory openness conjecture; log canonical threshold; graded sequence; valuation; plurisubharmonic function Jonsson, M.; Mustaţǎ, M., An algebraic approach to the openness conjecture of demailly and Kollár, J. Inst. Math. Jussieu, 13, 119-144, (2014) Plurisubharmonic functions and generalizations, Lelong numbers, Multiplier ideals, General valuation theory for fields, Singularities in algebraic geometry An algebraic approach to the openness conjecture of demailly and Kollár
| 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory algebraic function field; group of automorphisms; finiteness; Weierstrass points Schmid, Über die Automorphismen eines algebraischen Funktionenkörpers von Primzahlcharakteriatik., J. reine angew. Math. 179 pp 5-- (1938) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Automorphisms of curves, Riemann surfaces; Weierstrass points; gap sequences Über die Automorphismen eines algebraischen Funktionenkörpers von Primzahlcharakteristik
| 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory division algebras; Severi-Brauer varieties; symbol algebras Finite-dimensional division rings, Brauer groups (algebraic aspects), Birational geometry A birational interpretation of Severi-Brauer varieties
| 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory algebraic geometry Algebraic geometry Beiträge zur algebraischen Geometrie. III
| 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory Representation theory for linear algebraic groups, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Lie algebras of linear algebraic groups, Linear algebraic groups over the reals, the complexes, the quaternions, Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) Correction to: ``Generalized Springer theory for \(D\)-modules on a reductive Lie algebra''
| 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory real analytic theory of Teichmüller space; deformations; uniqueness; theorem; Fricke moduli; Teichmüller modular group; compactification; classification of; diffeomorphisms; fractional twist group; Fenchel- Nielsen; coordinates У. Абикоф, Вещественно аналитическая теория пространства Тейхмюллера, Математика. Новое в зарубежной науке, 38, Мир, М., 1985, 119 с. Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Families, moduli of curves (analytic), Compact Riemann surfaces and uniformization, Fine and coarse moduli spaces, Research exposition (monographs, survey articles) pertaining to algebraic geometry The real analytic theory of Teichmüller space.
| 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory algebraic cycles; K3-surfaces; symplectomorphism; mixed Hodge structures; cubic threefolds; intermediate Jacobian Algebraic cycles, \(K3\) surfaces and Enriques surfaces, Hypersurfaces and algebraic geometry, \(3\)-folds Erratum: ``Algebraic cycles on quadric sections of cubics in \(\mathbb{P}^4\) under the action of symplectomorphisms''
| 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Constructive rereading of Artin-Schreier theory equivariant compactifications; inequivalent actions on projective space Hassett, B.; Tschinkel, Y., Geometry of equivariant compactifications of \(\mathbb{G}\)\(n\)\_{}\{\(a\)\}, Int. Math. Res. Not., 20, 1211-1230, (1999) Group actions on varieties or schemes (quotients), Topological properties in algebraic geometry Geometry of equivariant compactifications of \(\mathbb{G}^n_a\)
| 0 |
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