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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 global uniformization Compact Riemann surfaces and uniformization, Algebraic functions and function fields in algebraic geometry On the possibility of an explicit construction of global uniformization of an algebraic correspondence
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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 J. Heintz, B. Kuijpers, A. Rojas Paredes, On the intrinsic complexity of elimination problems in effective algebraic geometry, arXiv:1201.4344v3. Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.), Effectivity, complexity and computational aspects of algebraic geometry On the intrinsic complexity of elimination problems in effective 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 Geometric invariant theory 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 spectral theory; Cowen-Douglas operators; Grassmann manifolds; Hermitian holomorphic vector bundles; curvature invariants Several-variable operator theory (spectral, Fredholm, etc.), Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), Cowen-Douglas operators, Subnormal operators, hyponormal operators, etc., Grassmannians, Schubert varieties, flag manifolds Holomorphic spectral theory: a geometric approach
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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 connective \(K\)-theory; Severi-Brauer varieties Applications of methods of algebraic \(K\)-theory in algebraic geometry, Connective \(K\)-theory, cobordism, Algebraic cycles Algebraic connective \(K\)-theory of a Severi-Brauer variety with prescribed reduced behavior
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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 Néron-Severi group; Milnor fibration Gennaro, V; Franco, D, Noether-Lefschetz theory and Néron-Severi group, Int. J. Math., 23, 12, (2012) Algebraic cycles, Structure of families (Picard-Lefschetz, monodromy, etc.), Milnor fibration; relations with knot theory, Divisors, linear systems, invertible sheaves, Transcendental methods, Hodge theory (algebro-geometric aspects), Complete intersections Noether-Lefschetz theory and Néron-Severi group
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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 Contou-Carrère symbol; Weil reciprocity law Fernando Pablos Romo, A Contou-Carrère symbol on \?\?(\?,\?((\?))) and a Witt residue theorem on \Cal M\?\?(\?,\Sigma _{\?}), Int. Math. Res. Not. (2006), Art. ID 56824, 21. Curves of arbitrary genus or genus \(\ne 1\) over global fields, Symbols and arithmetic (\(K\)-theoretic aspects), Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields A Contou-Carrère symbol on \(\text{Gl}(n,A((t)))\) and a Witt residue theorem on \(\text{Mat}(n,\Sigma_C)\)
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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 mu=const. deformation; mixed Hodge structure; Torelli theorem Deformations of complex singularities; vanishing cycles, Local complex singularities, Deformations of singularities, Period matrices, variation of Hodge structure; degenerations Erratum: Torelli theorems for singularities
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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 \(K\)-theory of spaces, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Grothendieck groups, \(K\)-theory, etc., Symbolic dynamics Strong shift equivalence and algebraic \(K\)-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 covariants; multiplicity free representations; reductive algebraic groups; actions on affine varieties Dmitri I. Panyushev, On covariants of reductive algebraic groups, Indag. Math. (N.S.) 13 (2002), no. 1, 125 -- 129. Linear algebraic groups over the reals, the complexes, the quaternions, Actions of groups on commutative rings; invariant theory, Group actions on varieties or schemes (quotients) On covariants of reductive algebraic groups.
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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 Weyl algebras; Dixmier filtrations Rings of differential operators (associative algebraic aspects), Noncommutative algebraic geometry, Filtered associative rings; filtrational and graded techniques A remark on Letzter-Makar-Limanov 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 equivariant sheaves; elliptic difference equations; difference equations Sheaves in algebraic geometry, Formal neighborhoods in algebraic geometry, Difference equations The local information of equivariant sheaves and elliptic difference 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 semianalytic sets; subanalytic sets; real analytic functions; first-order logic; Robinson's test; model-completeness; Gabrielov's complement theorem Semi-analytic sets, subanalytic sets, and generalizations, Real-analytic and semi-analytic sets, Quantifier elimination, model completeness, and related topics A model-theoretic version of the complement 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 External book reviews, Proceedings, conferences, collections, etc. pertaining to differential geometry, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Kähler manifolds, Kähler-Einstein manifolds, Minimal model program (Mori theory, extremal rays), Fano varieties, Proceedings of conferences of miscellaneous specific interest Book review of: Boucksom, S. (ed.) et al., An introduction to the Kähler-Ricci flow
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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 reductive group action; linearization; good quotient; Hilbert-Mumford theorems Jürgen Hausen, Geometric invariant theory based on Weil divisors, Compos. Math. 140 (2004), no. 6, 1518 -- 1536. Geometric invariant theory, Group actions on varieties or schemes (quotients) Geometric invariant theory based on Weil divisors
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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 statistics on set partitions Partitions of sets, Exact enumeration problems, generating functions, Grassmannians, Schubert varieties, flag manifolds, \(q\)-calculus and related topics, Bell and Stirling numbers A geometric interpretation of the intertwining number
| 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 spaces; real algebraic spaces; Nash maps Real-analytic manifolds, real-analytic spaces, Nash functions and manifolds, Real algebraic and real-analytic geometry, Real-analytic and Nash manifolds, Real-analytic sets, complex Nash functions Some results in the theory of real analytic spaces and of real 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 Colliot-Thélène, J. -L.; Levine, M.: Une version du théorème d'amer et Brumer pour LES zéro-cycles, Dev. math. 18, 215-223 (2010) Algebraic cycles A version of the Amer-Brumer theorem for zero 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 canonically polarized varieties; moduli spaces; Kähler-Einstein manifolds; Weil-Petersson form; positive currents 56. Schumacher, Georg Erratum: Positivity of relative canonical bundles and applications Invent. math.192 (2013) 253-255 Sheaves and cohomology of sections of holomorphic vector bundles, general results, Algebraic moduli problems, moduli of vector bundles, Kähler-Einstein manifolds Erratum to: Positivity of relative canonical bundles and applications
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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 Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes, General geometric structures on low-dimensional manifolds, Groups acting on trees, Algebraic moduli problems, moduli of vector bundles Compactification of spaces of representations after Culler, Morgan and Shalen
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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 Gromov-Witten invariants; quantum \(K\)-tkeory; Grasssmannian Buch, A. S.; Mihalcea, L. C., Quantum \textit{K}-theory of Grassmannians, Duke Math. J., 156, 3, 501-538, (2011) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), \(K\)-theory of schemes, Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus, Rationality questions in algebraic geometry Quantum \(K\)-theory of 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, Transcendental methods, Hodge theory (algebro-geometric aspects), de Rham cohomology and algebraic geometry, Rigid analytic geometry The Monsky-Washnitzer and the overconvergent realizations
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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 Riemann-Roch theorem; algebraic function fields Algebraic functions and function fields in algebraic geometry Eine Vorbereitung auf den Riemann-Rochschen Satz für algebraische Funktionenkörper
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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; Keller map; irreducible element; square-free element; factorial property Polynomial rings and ideals; rings of integer-valued polynomials, Jacobian problem, Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) An approach to the Jacobian conjecture in terms of irreducibility and square-freeness
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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 anabelian open basis; generalized sub-\(p\)-adic field; hyperbolic polycurve; hyperbolic polycurve of strictly decreasing type Coverings of curves, fundamental group, Families, moduli of curves (algebraic), Arithmetic ground fields for curves A note on an anabelian open basis for a smooth 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 compact linear groups of cohomogeneity \(\leq 3\); orthogonal group; ring of invariants; distance metric; compact connected linear groups; principal isotropy groups Straume, E., On the invariant theory and geometry of compact linear groups of cohomogeneity \(\leq 3\), Differ. Geom. Appl., 4, 1-23, (1994) Representation theory for linear algebraic groups, Global Riemannian geometry, including pinching, Groups acting on specific manifolds, Compact groups, Classical groups (algebro-geometric aspects) On the invariant theory and geometry of compact linear groups of cohomogeneity \(\leq 3\)
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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 periodic subvariety; automorphism; positive entropy; topological entropy; g-periodic prime divisor De-Qi Zhang, ``The \(g\)-periodic subvarieties for an automorphism \(g\) of positive entropy on a compact Kähler manifold'', Adv. Math.223 (2010) no. 2, p. 405-415{
}{\copyright} Annales de L'Institut Fourier - ISSN (électronique) : 1777-5310 Compact Kähler manifolds: generalizations, classification, Automorphisms of surfaces and higher-dimensional varieties, Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables, Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics The \(g\)-periodic subvarieties for an automorphism \(g\) of positive entropy on a compact Kähler manifold
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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 Grauert's theorem; subanalytic sets; Stein open sets Semi-analytic sets, subanalytic sets, and generalizations, Real-analytic and semi-analytic sets, Real-analytic manifolds, real-analytic spaces, Embedding of real-analytic manifolds Grauert's theorem for subanalytic open sets in real analytic manifolds
| 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 arithmetic geometry; Serre \(C^\ast\)-algebra Algebraic numbers; rings of algebraic integers, Arithmetic aspects of dessins d'enfants, Belyĭ theory, Riemann surfaces; Weierstrass points; gap sequences, Noncommutative topology Geometry of integers revisited
| 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 Dieudonné, Invariant theory, old and new (1971) Geometric invariant theory, Actions of groups on commutative rings; invariant theory, Representation theory for linear algebraic groups, Groups acting on specific manifolds, Grassmannians, Schubert varieties, flag manifolds, Research exposition (monographs, survey articles) pertaining to algebraic geometry Invariant theory, old and new
| 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 Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Families, moduli of curves (analytic) Corrigendum: A construction of the Deligne-Mumford orbifold
| 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 Constructive quantum field theory, Measures and integration on abstract linear spaces, Reflection and Coxeter groups (group-theoretic aspects), Reflection groups, reflection geometries, Compactifications; symmetric and spherical varieties A construction of Euclidean invariant, reflection positive measures on a compactification of distributions
| 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 Jacobians; Zeta functions; Hasse-Witt invariant Jacobians, Prym varieties, Zeta and \(L\)-functions in characteristic \(p\) On the Deuring-Shafarevich formula
| 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 stacks; affine cosets; observable subgroups; good quotients Alper, JD; Easton, RW, Recasting results in equivariant geometry: affine cosets, observable subgroups and existence of good quotients, Transform. Groups, 17, 1-20, (2012) Group actions on varieties or schemes (quotients), Stacks and moduli problems Recasting results in equivariant 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 algebraic 2-sphere; idempotent matrix; \(\tilde K_0\); polynomial map Topology of real algebraic varieties, \(K_0\) of other rings, Stable classes of vector space bundles in algebraic topology and relations to \(K\)-theory On the algebraic \(K\)-theory of \(R[X,Y,Z]/(X^2+Y^2+Z^2-1)\)
| 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 elliptic curve; Kummer surface; Calabi-Yau manifold; representations; alternating group; dual variety; crepant solution Paranjape, K., Ramakrishnan, D.: Quotients of E n by \(\mathfrak{a}_{n+1}\) and Calabi-Yau manifolds. In: Algebra and Number Theory, pp. 90--98. Hindustan Book Agency, Delhi (2005) Calabi-Yau manifolds (algebro-geometric aspects), Varieties over global fields, Abelian varieties of dimension \(> 1\), \(K3\) surfaces and Enriques surfaces, Representations of finite symmetric groups Quotients of \(E^n\) by \({\mathfrak a}_{n+1}\) and Calabi-Yau 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 Chow group; rational surface; Galois cohomology Sansuc, J. J.: À propos d'une conjecture arithmétique sur le groupe de Chow d'une surface rationnelle. Seminaire de théorie des nombres de Bordeaux, exposé 33 (1982) (Equivariant) Chow groups and rings; motives, Rational and unirational varieties, Galois cohomology, Special surfaces, Global ground fields in algebraic geometry À propos d'une conjecture arithmétique sur le groupe de Chow d'une surface rationnelle. (Avec un paragraphe par Jean-Louis Colliot- Thélène)
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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 \(D\)-modules algebraic varieties; Riemann-Hilbert correspondence; Kazhdan-Lusztig conjecture; application to representation theory; holonomic \(D\)-modules; coherent \(D\)-modules; analytic \(D\)-modules Hotta, R.; Takeuchi, K.; Tanisaki, T., D-Modules, Perverse Sheaves, and Representation Theory, Progr. Math., vol. 236, (2008), Birkhäuser Boston Inc.: Birkhäuser Boston Inc. Boston, MA, Translated from the 1995 Japanese edition by Takeuchi, xii+407 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Sheaves of differential operators and their modules, \(D\)-modules, Semisimple Lie groups and their representations, de Rham cohomology and algebraic geometry, Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces \(D\)-modules, perverse sheaves, and representation theory. Translated from the Japanese by Kiyoshi Takeuchi
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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 Burgers-KdV hierarchy; Virasoro equations; Kontsevich's combinatorial formula A. Buryak and R. J. Tessler, Matrix models and a proof of the open analog of Witten's conjecture, arXiv:1501.07888. Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Relationships between algebraic curves and physics, KdV equations (Korteweg-de Vries equations) Matrix models and a proof of the open analog of Witten's 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 quiver varieties; Hilbert schemes A. Savage, ``A geometric boson-fermion correspondence'', C. R. Math. Rep. Acad. Sci. Canada28 (2006) no. 3, p. 65-84 Vertex operators; vertex operator algebras and related structures, Parametrization (Chow and Hilbert schemes), Representations of quivers and partially ordered sets A geometric boson-fermion correspondence
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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 mixed Hodge structure; infinitesimal period mappings; Kodaira-Spencer complex; infinitesimal mixed Torelli theorem; elliptic surfaces Torelli problem, Variation of Hodge structures (algebro-geometric aspects), Elliptic surfaces, elliptic or Calabi-Yau fibrations On the Torelli problem for fiber spaces
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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 Prym variety; representation theory Beauville, A.: Diviseurs spéciaux et intersections de cycles dans la jacobienne d'une courbe algébrique. Enumerative geometry and classical algebraic geometry (Nice 1981), Progr. Math. 24, Birhäuser, 1982, 133-142 Algebraic theory of abelian varieties, Jacobians, Prym varieties A Galois-theoretic approach to Kanev's correspondence
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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 fundamental group; affine curve; free profinite group; Abhyankar conjecture Coverings of curves, fundamental group, Separable extensions, Galois theory, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Homotopy theory and fundamental groups in algebraic geometry, Limits, profinite groups Erratum to: ``Normal subgroups of the algebraic fundamental group of affine curves 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 Arithmetic dynamics on general algebraic varieties, Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems, Automorphisms of surfaces and higher-dimensional varieties Erratum to ``On the dynamical and arithmetic degrees of rational self-maps of 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 full reducibility; invariants; representations; groups of complex matrices; historical survey Representation theory for linear algebraic groups, Semisimple Lie groups and their representations, History of mathematics in the 20th century, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), History of mathematics in the 19th century, History of group theory, Geometric invariant theory, Linear algebraic groups over the reals, the complexes, the quaternions Full reducibility and invariants for \(\text{SL}_2(\mathbb{C})\)
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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 semianalytic germ; real affine analytic set Broglia, F.; Pernazza, L.: An Artin--lang property for germs of C\(\infty \)functions. J. reine angew. Math. 548, 129-147 (2002) Real-analytic manifolds, real-analytic spaces, Real algebraic sets, Real-analytic and semi-analytic sets An Artin-Lang property for germs of \(C^\infty\) 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 irreducible algebraic subvarieties; complexity of algebraic varieties; Bertini's theorems Real algebraic sets, Nash functions and manifolds Equations and complexity for the Dubois-Efroymson dimension 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 toric varieties; topological semigroup; tetrahedron Toric varieties, Newton polyhedra, Okounkov bodies, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) On the construction of 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 reduction ideal; Stückrad-Vogel intersection cycle; analytic spread; MACAULAY; CoCoA R. Achilles and D. Aliffi. On the computation of the Stfickrad-Vogel intersection cycle by analytic spread and minimal reductions.Bull. Soc. Math. Belg. (1993), to appear Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Computational aspects of higher-dimensional varieties On the computation of the Stückrad-Vogel cycle by analytic spread and minimal reductions
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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 almost homogeneous space; reductive Lie group acting holomorphically on a complex space; Stein manifold; two orbits Group actions on varieties or schemes (quotients), Homogeneous complex manifolds, Geometric invariant theory, Complex Lie groups, group actions on complex spaces Two contributions to 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 field theory; vector bundles; bordism Topological quantum field theories (aspects of differential topology), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Topology of vector bundles and fiber bundles A framework for geometric field theories and their classification in dimension one
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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 vertex operators; Hirota quadratic equations; 2-Toda hierarchy Milanov, T.E.: The equivariant Gromov-Witten theory of \({\mathbb{C}{\mathrm P}^1}\) and integrable hierarchies. Int. Math. Res. Not. IMRN (2008), Article ID rnn 073 Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) The equivariant Gromov-Witten theory of \(\mathbb {C}P^1\) and integrable hierarchies
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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 Cartier divisors; Weil divisor; Poincaré morphism; compact toric varieties Toric varieties, Newton polyhedra, Okounkov bodies, Divisors, linear systems, invertible sheaves, Classical real and complex (co)homology in algebraic geometry An interpretation of the Poincaré morphism for compact 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 graded Betti numbers; minimal resolution conjecture; exterior algebra; Bernstein-Gelfand-Gelfand correspondence D. Eisenbud, S. Popescu, F.-O. Schreyer and C. Walter, Exterior algebra methods for the minimal resolution conjecture, Duke Math. J. 112 (2002), 379-395. Syzygies, resolutions, complexes and commutative rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective and free modules and ideals in commutative rings, Exterior algebra, Grassmann algebras Exterior algebra methods for the minimal resolution 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 affine flag variety; local model; nearby cycles; Schubert variety Zhu, X., \textit{on the coherence conjecture of pappas and Rapoport}, Ann. of Math. (2), 180, 1-85, (2014) Formal groups, \(p\)-divisible groups, Grassmannians, Schubert varieties, flag manifolds, Local ground fields in algebraic geometry On the coherence conjecture of Pappas and Rapoport
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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 Systèmes différentiels; Colloque; Plans-sur-Bex (France) Conference proceedings and collections of articles, Proceedings, conferences, collections, etc. pertaining to algebraic geometry Introduction à la théorie algébrique des systèmes différentiels. Colloque, Plans-sur-Bex I - Printemps 1984. Avec la collaboration de: P. Jeanquartier, H. M. Maire, L. Narvaez-Macarro, P. Maisonobe, Y. Laurent
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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 birational transformations; Cremona transformation Rational and birational maps On the theory of Cremona transformations.
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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 Séminaire Géométrie Algébrique; Schémas en groupes; group schemes Schémas en groupes. I: Propriétés générales des schémas en groupes, Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3). Dirigé par M.~Demazure et A. Grothendieck. Lecture Notes in Mathematics, Vol. 151, xv+564 pp., (1970), Springer-Verlag, Berlin-New York Collections of reprinted articles, Group schemes Schémas en groupes. I: Propriétés générales des schémas en groupes. Exposés I à VIIb. Séminaire de Géométrie Algébrique 1962/64, dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint
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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 van den Essen, A.: Around the Abhyankar-Moh theorem. In: Algebra, Arithmetic and Geometry with Applications (West Lafayette, IN, 2000). Springer, Berlin, pp. 283-294 (2004) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) Around the Abhyankar-Moh 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 vanishing theorem; Riemann-Hilbert correspondence Vanishing theorems in algebraic geometry, \(p\)-adic cohomology, crystalline cohomology, de Rham cohomology and algebraic geometry Variation on Artin's vanishing 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 Hermitian symmetric space; period map; polarized Hodge structures; generic Torelli theorem M. -H. SAITO, Generic torelli theorem for hypersurfaces in compact irreducible Hermitian symmetri spaces, Algebraic Geometry and Commutative Algebra in honor of Masayoshi Nagata (H. Hijikata et al., eds.), vol. 2, Academic Press, 1988. Torelli problem, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Transcendental methods, Hodge theory (algebro-geometric aspects) Generic Torelli theorem for hypersurfaces in compact irreducible Hermitian symmetric spaces
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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 Research exposition (monographs, survey articles) pertaining to number theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Zeta and \(L\)-functions in characteristic \(p\), \(p\)-adic cohomology, crystalline cohomology Sheaves and functions modulo \(p\). Lectures on the Woods Hole trace formula
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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 manifolds; rational homogeneous spaces; extremal contraction; Mori theory Fano varieties, Homogeneous spaces and generalizations, Minimal model program (Mori theory, extremal rays) Corrigendum to: ``Fano manifolds containing a negative divisor isomorphic to a rational homogeneous space of Picard number one''
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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 invariant theory; Hilbert function of stratum Geometric invariant theory, Homogeneous spaces and generalizations, Determinantal varieties Some open problems 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 open problems; invariant theory; algebraic transformation group Vinberg, E., Popov, V.: Invariant theory. In: ''Algebraic Geometry IV'', A.N. Parshin, I. Shafarevich, eds., Berlin: Springer, 1992 Group actions on varieties or schemes (quotients), Problem books, Actions of groups on commutative rings; invariant theory Some open problems 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 Brown-Gersten spectral sequence; localization theorem; long exact sequence; category of finite complexes of algebraic vector bundles; Mayer-Vietoris sequence; cohomological descent; perfect complexes; Grothendieck group; Atiyah-Hirzebruch spectral sequence; étale cohomology; Bott periodicity; residue field Robert W. Thomason, The local to global principle in algebraic \?-theory, Proceedings of the International Congress of Mathematicians, Vol. I, II (Kyoto, 1990) Math. Soc. Japan, Tokyo, 1991, pp. 381 -- 394. \(K\)-theory of schemes, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects) The local to global principle in algebraic \(K\)-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 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, de Rham cohomology and algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry Erratum to: ``Algebraic connections on projective modules with prescribed curvature''
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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 semi-simple group acting on an affine variety; invariant functions; Poincaré series M. Brion. Sur la théorie des invariants, Publ. Math. Univ. Pierre et Marie Curie 45 (1981), 1-92. Geometric invariant theory, Singularities in algebraic geometry, Group actions on varieties or schemes (quotients) Sur 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 product theorem of Nadel; bound for Chern class; Fano variety; movable rational curve Campana, F. Une version géométrique généralisée du théorème du produit de Nadel,Bull. Soc. Math. France 119(4), 479--493 (1991). Fano varieties, Characteristic classes and numbers in differential topology A generalized geometric version of the product theorem of Nadel
| 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 Invariant theory; Séminaire; Algébre; Proceedings; Paris (France) (Malliavin, Marie-Paule, Seminaire d'Algebre Paul Dubreil et Marie-Paule Malliavin, (1987), Springer), 177-192, (vol. 1454 of Lecture Notes in Mathematics Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to group theory, Proceedings, conferences, collections, etc. pertaining to associative rings and algebras Topics in invariant theory. Séminaire d'algèbre P. Dubreil et M.-P. Malliavin, Paris, France, 1989-1990 (40ème année)
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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 surface; diametrical surface; polar surface; asymptotic direction; invariant group; reflections Analytic geometry with other transformation groups, Special surfaces, Reflection groups, reflection geometries Diametrical theory of algebraic surfaces and geometric theory of invariants of groups generated by reflections. I
| 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 diophantine problems; meromorphic mappings; hyperbolic complex space Hyperbolic and Kobayashi hyperbolic manifolds, Arithmetic problems in algebraic geometry; Diophantine geometry Correction to ''Meromorphic mappings into compact hyperbolic complex spaces and geometric diophantine problems''
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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 Arakelov theory; formal schemes Bost, J.-B.: Germs of analytic varieties in algebraic varieties: canonical metrics and arithmetic algebraization theorems. In: Geometric Aspects of Dwork Theory, vols. I, II. pp. 371--418. Walter de Gruyter GmbH \& Co. KG, Berlin (2004) Arithmetic varieties and schemes; Arakelov theory; heights Germs of analytic varieties in algebraic varieties: canonical metrics and arithmetic algebraization theorems
| 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 Olivier Pechenik & Alexander Yong, ``Equivariant \(K\)-theory of Grassmannians'', Forum of Mathematics, Pi5 (2017), Grassmannians, Schubert varieties, flag manifolds, Symmetric functions and generalizations Equivariant \(K\)-theory of Grassmannians
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Picard numbers; rank of the Mordell-Weil group; elliptic curves over function fields; automorphisms Peter F. Stiller, The Picard numbers of elliptic surfaces with many symmetries, Pacific J. Math. 128 (1987), no. 1, 157 -- 189. Picard groups, Special surfaces, Group actions on varieties or schemes (quotients) The Picard numbers of elliptic surfaces with many symmetries
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) inverse Galois theory; algebraic fundamental group; plane curves; factorization of polynomials; resolution of plane curve singularities; hyperelliptic function fields; construction of Galois extensions; finite group; Galois group; PSL(2,8); unramified covering; affine line Shreeram S. Abhyankar, Square-root parametrization of plane curves, Algebraic geometry and its applications (West Lafayette, IN, 1990) Springer, New York, 1994, pp. 19 -- 84. Inverse Galois theory, Special algebraic curves and curves of low genus, Coverings of curves, fundamental group, Coverings in algebraic geometry Square-root parametrization of plane curves. Appendix by J.-P. Serre
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) number of rational points; Deligne-Lusztig curves; function fields; large groups of automorphisms; Goppa codes HP Johan~P. Hansen and Jens~Peter Pedersen, \emph Automorphism groups of Ree type, Deligne-Lusztig curves and function fields, J. Reine Angew. Math. \textbf 440 (1993), 99--109. Algebraic functions and function fields in algebraic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory, Arithmetic ground fields for curves, Curves over finite and local fields, Finite ground fields in algebraic geometry, Arithmetic theory of algebraic function fields Automorphism groups of Ree type, Deligne-Lusztig curves and function fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) affine space; polynomials over finite fields; linearized polynomial; group of polynomial automorphisms; group of tame automorphisms Joost Berson, Derivations of polynomial rings over a domain, Master's thesis, University of Nijmegen, June 1999. Jacobian problem, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Polynomials over finite fields, Polynomial rings and ideals; rings of integer-valued polynomials, Rational and birational maps Linearized polynomial maps over finite fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) elliptic surfaces; elliptic curves over function fields; generators of Mordell-Weil group; Kodaira-Néron model; number of minimal sections; specialization homomorphisms Arithmetic varieties and schemes; Arakelov theory; heights, Rational points, Elliptic curves, Elliptic curves over global fields, Finite ground fields in algebraic geometry, Elliptic surfaces, elliptic or Calabi-Yau fibrations Mordell-Weil lattices and Galois representation. II
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) fields of large transcendence degree; algebraic independence; zero lemmas; zero estimate for group varieties; primary ideal; polynomial rings; algebraic subgroups of products of elliptic curves; effective version of Hilbert's Nullstellensatz; Kolchin theorem; Weierstrass elliptic function Masser, D. W.; Wüstholz, G., Fields of large transcendence degree generated by values of elliptic functions, Invent. Math., 72, 3, 407-464, (1983) Transcendence theory of elliptic and abelian functions, Varieties over global fields, Global ground fields in algebraic geometry Fields of large transcendence degree generated by values of elliptic functions
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) polynomial automorphisms; tame automorphisms; affine spaces over finite fields; automorphism group; bijections; set of zeros; primitive subgroup of the symmetric group S. Maubach, Polynomial automorphisms over finite fields, Serdica Math. J. 27 (2001), no. 4, 343--350. Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Polynomials over finite fields, Polynomials in number theory, Primitive groups, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Infinite automorphism groups, Jacobian problem Polynomial automorphisms over finite fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Mordell-Weil group; procyclic extension of rational function field; elliptic curves over function fields Fastenberg, L., Mordell-Weil groups in procyclic extensions of a function field, Ph.D. Thesis, Yale University, 1996. Rational points, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Elliptic curves over global fields, Elliptic curves Mordell-Weil groups in procyclic extensions of a function field
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) diophantine equations; Siegel's theorem; integral points on affine curves; function-fields of characteristic zero José Felipe Voloch, Siegel's theorem for complex function fields, Proc. Amer. Math. Soc. 121 (1994), no. 4, 1307 -- 1308. Elliptic curves over global fields, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Global ground fields in algebraic geometry Siegel's theorem for complex function fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) abstract elliptic function fields; divisor class group of finite order; automorphisms; meromorphisms; addition theorems; structure of ring of meromorphisms; Riemann hypothesis Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Zur Theorie der abstrakten elliptischen Funktionenkörper. I: Die Struktur der Gruppe der Divisorenklassen endlicher Ordnung. II: Automorphismen und Meromorphismen. Das Additionsproblem. III: Die Struktur des Meromorphismenrings. Die Riemannsche Ver\-mutung.
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) algebraic curves; algebraic function fields; maximal curves; maximal function fields; automorphisms of function fields Güneri, C.; Özdemir, M.; Stichtenoth, H., The automorphism group of the generalized giulietti-korchmáros function field, \textit{Adv. Geom.}, 13, 369-380, (2013) Curves over finite and local fields, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry The automorphism group of the generalized Giulietti-Korchmáros function field
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) algebraic groups; adjoint groups; R-equivalence; nondyadic local fields; function fields of curves; algebras with involution; Hermitian forms; Rost invariant R. Preeti and A. Soman, Adjoint groups over \Bbb Q_{\?}(\?) and R-equivalence, J. Pure Appl. Algebra 219 (2015), no. 9, 4254 -- 4264. Linear algebraic groups over local fields and their integers, Quadratic forms over general fields, Bilinear and Hermitian forms, Classical groups, Galois cohomology of linear algebraic groups, Rational points, Other nonalgebraically closed ground fields in algebraic geometry, Finite-dimensional division rings, Rings with involution; Lie, Jordan and other nonassociative structures Adjoint groups over \(\mathbb Q_p(X)\) and R-equivalence.
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Hasse-Weil-Serre bound; zeta function of curves over finite fields; rational points K. Lauter, Geometric methods for improving the upper bounds on the number of rational points on algebraic curves over finite fields, Institut de Mathématiques de Luminy, preprint, 1999, pp. 99--29. Curves over finite and local fields, Finite ground fields in algebraic geometry, Arithmetic ground fields for curves Improved upper bounds for the number of rational points on algebraic curves over finite fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) hyperbolic fibre space; higher dimensional analogue of Mordell's conjecture for curves; hyperbolic manifolds; algebraic families of hyperbolic varieties; Mordell's conjecture over function fields Noguchi, J.Hyperbolic fiber spaces and Mordell's conjecture over function fields, Publ. Research Institute Math. Sciences Kyoto University21, No. 1 (1985), 27--46. Hyperbolic and Kobayashi hyperbolic manifolds, Holomorphic bundles and generalizations, Families, moduli, classification: algebraic theory Hyperbolic fibre spaces and Mordell's conjecture over function fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) arithmetic function; number of factorizations of an integer; group of rational points; elliptic curves Arithmetic functions; related numbers; inversion formulas, Cubic and quartic Diophantine equations, Elliptic curves Some arithmetic functions associated with diophantine equations
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) algebraic function fields; valuation; value group; rank; direct sum of n infinite cyclic groups MacLane, S. - Schilling, O.F.G.\(\,\): Zero-dimensional branches of rank 1 on algebraic varieties, Annals of Math. 40 (1939), 507-520 Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Valued fields Zero-dimensional branches of rank one on algebraic varieties
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) conjecture of Beilinson and Bloch; rank of the Griffiths group; smooth projective variety over a number field; order of vanishing of an L-function; elliptic curves J. Buhler, C. Schoen, and J. Top, ''Cycles, \(L\)-functions and triple products of elliptic curves,'' J. reine angew. Math., vol. 492, pp. 93-133, 1997. \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Varieties over global fields, Algebraic cycles, Global ground fields in algebraic geometry Cycles, \(L\)-functions and triple products of elliptic curves
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) deformation theory; finite group schemes; abelian varieties; Newton polygons; automorphisms of algebraic curves History of algebraic geometry, History of mathematics in the 20th century, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Local deformation theory, Artin approximation, etc., Automorphisms of curves, Algebraic moduli of abelian varieties, classification, Group schemes A method in deformation theory
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) 2-dimensional Cremona group; algebraic automorphism; automorphism of the rational function field; birational automorphisms D. Wright, Two-dimensional Cremona groups acting on simplicial complexes, Trans. Amer. Math. Soc. 331 (1992), no. 1, 281--300. Birational automorphisms, Cremona group and generalizations, Automorphisms of surfaces and higher-dimensional varieties, Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations, Polynomial rings and ideals; rings of integer-valued polynomials, Infinite automorphism groups Two-dimensional Cremona groups acting on simplicial complexes
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) function fields; Brauer group; theorem of Davenport-Halberstam Serre, Jean-Pierre, Spécialisation des éléments de \(\operatorname{Br}_2(\mathbf{Q}(T_1, \ldots, T_n))\), C. R. Acad. Sci. Paris, Sér. I, 311, 7, 397-402, (1990) Brauer groups of schemes, Galois cohomology Spécialisation des éléments de \(Br_ 2({\mathbb{Q}}(T_ 1,\cdot \cdot \cdot,T_ n))\). (Specialization of elements of \(Br_ 2({\mathbb{Q}}(T_ 1,\cdot \cdot \cdot,T_ n)))\)
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) algebraic function fields; constructions of linear codes; algebraic curves; algebraic-geometric codes; Goppa codes Ferruh Özbudak and Henning Stichtenoth, Constructing codes from algebraic curves, IEEE Trans. Inform. Theory 45 (1999), no. 7, 2502 -- 2505. Geometric methods (including applications of algebraic geometry) applied to coding theory, Linear codes (general theory), Arithmetic theory of algebraic function fields, Applications to coding theory and cryptography of arithmetic geometry Constructing codes from algebraic curves
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) function fields; biquadratic curves; biquadratic covers; number of points over finite fields; arithmetic statistics Curves over finite and local fields, Coverings of curves, fundamental group, Relations with random matrices Statistics for biquadratic covers of the projective line over finite fields. With an appendix by Alina Bucur
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) automorphism groups of algebraic function fields; realization of group as Galois group; Galois theory Separable extensions, Galois theory, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Representations of groups as automorphism groups of algebraic systems Zur Realisierbarkeit endlicher Gruppen als Automorphismengruppen algebraischer Funktionenkörper
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Gauss conjecture; modular curves; Drinfeld modular curves; class field tower; congruence function fields; ring of \(S\)-integers; ideal class number; class number Lachaud, G.; Vladut, S.: Gauss problem for function fields, J. number theory 85, No. 2, 109-129 (2000) Arithmetic theory of algebraic function fields, Cyclotomic function fields (class groups, Bernoulli objects, etc.), Class field theory, Finite ground fields in algebraic geometry, Jacobians, Prym varieties, Arithmetic aspects of modular and Shimura varieties, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Curves over finite and local fields Gauss problem for function fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) towers of function fields; Drinfeld modules; curves with many points Algebraic functions and function fields in algebraic geometry, Families, moduli of curves (algebraic), Arithmetic theory of algebraic function fields, Computational aspects of algebraic curves Good towers of function fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) rational points of affine variety; Hasse principle; ring of all algebraic integers; capacity theory on algebraic curves; completely valued algebraically closed fields; Hilbert's tenth problem; decision procedure for diophantine equations Rumelv, R. S., Arithmetic over the ring of all algebraic integers, Journal für die Reine und Angewandte Mathematik, 368, 127-133, (1986) Rational points, Decidability and field theory, Arithmetic ground fields for curves, Diophantine inequalities, Diophantine equations, Decidability of theories and sets of sentences Arithmetic over the ring of all algebraic integers
| 0 |
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