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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) local symbol; integral polynomials over quartic number fields; ramification; Polya field with class number one; product formula of local group homomorphisms; Brauer groups of global fields; decomposition group; Frobenius element; Stickelberger congruence; quadratic reciprocity law Zantema, H., ?Global restrictions on ramification in number fields?, to appear
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) logarithmic canonical ring; semiample Zariski decomposition; Kodaira dimension; effective divisor T. Fujita: ''Fractionally logarithmic canonical rings of algebraic surfaces'',J. Fac. Sci. Univ. Tokyo Sect. IA Math., Vol. 30, (1984), pp. 685--696.
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) determinantal varieties; irreducible decomposition; Ehresmann partial order
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Zariski decomposition; arithmetic variety; Arakelov geometry A. Moriwaki, Zariski decompositions on arithmetic surfaces, Publ. Res. Inst. Math. Sci. 48 (2012), no. 4, 799-898.
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) singular Calabi-Yau varieties; holomorphic foliations; Beauville-Bogomolov decomposition
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) positive polynomials; decomposition of positive polynomials; semialgebraic sets V. Powers and B. Reznick, \textit{Polynomials that are positive on an interval}, Trans. Amer. Math. Soc., 352 (2000), pp. 4677--4692.
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Okounkov body; Minkowski basis; chamber decomposition Schmitz, D; Seppänen, H, On the polyhedrality of global Okounkov bodies, Adv. Geom., 16, 83-91, (2016)
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) variety of reduction; Fano variety; Cartan decomposition; symmetric space Barbier Grünewald, M, The variety of reductions for a reductive symmetric pair, Transform. Groups, 16, 1-26, (2011)
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) machine learning; Scikit-Learn; mathematical software; cylindrical algebraic decomposition; variable ordering
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) \(K3\) surface; automorphism group; Borcherds' method; chamber decomposition; Vinberg-Conway theory; Torelli theorem Shimada, I., An algorithm to compute automorphism groups of K3 surfaces and an application to singular K3 surfaces, Int. Math. Res. Not. IMRN, 22, 11961-12014, (2015)
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) existence of rational maps between K3 surfaces; lattice of cohomology classes of transcendental cycles; Hodge decomposition Nikulin, V.: On rational maps between \(K3\) surfaces. In: Constantin Carathéodory: an International Tribute, vols. I, II, pp. 964-995. World Sci. Publ., Teaneck (1991)
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Tits systems; \(WP\)-matroids; Schubert cells; Schubert decomposition; Coxeter group A. V. Borovik and I. M. Gelfand,WP-matroids and thin Schubert cells on Tits systems. Adv. Math.103 (1994) 162--179.
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) formally real fields; valuation theory; Waring problems; Krull valuation; real holomorphy ring; totally-positive units; sums of \(2n\)-th powers; totally Archimedean; Pythagoras number; Pythagorean number field; fan; strictly Pythagorean Eberhard Becker, The real holomorphy ring and sums of 2\?th powers, Real algebraic geometry and quadratic forms (Rennes, 1981) Lecture Notes in Math., vol. 959, Springer, Berlin-New York, 1982, pp. 139 -- 181.
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) toric variety; fan; polytope; resolution of singularities; quotient space; cohomology; minimal model program; McKay correspondence; \(G\)-Hilbert scheme Cox, D.: Update on toric geometry. Sémin. congr. 6, 1-41 (2002)
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Prym variety; isotypical decomposition of the Jacobian
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) representations of the Galois group of a local field; Dieudonné modules of zero slope; p-adic representations; Hodge-Tate decomposition Jean-Marc Fontaine, Représentations \(p\)-adiques des corps locaux. II, The Grothendieck Festschrift, Vol. II, Progr. Math. 87, Birkhäuser Boston, Boston, MA, 1990, p. 249-309
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Zariski decomposition; bounded negativity conjecture T. Bauer, On the boundedness of the denominators in the Zariski decomposition on surfaces, Journal für die reine und angewandte Mathematik, (2015)
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) toric variety; fan; equivariant \(K\)-theory; piecewise Laurent polynomial
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) crystalline cohomology; de Rham-Witt complex; \(F\)-crystals; Frobenius operator; ordinary varieties; de Rham cohomology; Hodge-Witt decomposition Chambert-Loir, A., Cohomologie cristalline: un survol, Expo. math., 16, 4, 333-382, (1998)
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) plane curves; polar quotients; Jacobian locus; discriminant curve; Waldhausen decomposition; Seifert fibres; linking numbers; Milnor isotopy Maugendre, H.: Discriminant of a germ \({\Phi}\):(C2,0)\$to(C2,0)\( and Seifert fibred manifolds. J. London math. Soc. (2) 59, 207-226 (1999)\)
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) domain decomposition; homotopy continuation; multiple solutions; numerical algebraic geometry; numerical examples; nonlinear algebraic differential equation; polynomial systems W. Hao, J. D. Hauenstein, B. Hu, and A. J. Sommese, \textit{A bootstrapping approach for computing multiple solutions of differential equations}, J. Comput. Appl. Math., 258 (2011), pp. 181--190.
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) cohomologic Brauer group; fan; toric variety
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Hamiltonian; symplectic map; symplectic matrix; polynomial map; Iwasawa decomposition; jolt factorization
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) regular cone; unimodular cone; Fan; continued fraction expansion; simultaneous Diophantine approximation; multidimensional continued fraction algorithm; stellar operation; starring; Farey mediant; Farey sum; Davenport-Mahler theorem
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Laurent polynomial; Newton polyhedron; Newton polygon; Adolphson-Sperber conjecture; decomposition theorem; L-function; zeta functions, exponential sums Wan, D., Variation of \textit{p}-adic Newton polygons for \textit{L}-functions of exponential sums, Asian J. math., 8, 427-471, (2004)
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) klt singularity; singular Ricci-flat metric; tangent sheaf; Campana's Abelianity Conjecture; holonomy representation; Beauville-Bogomolov Decomposition Theorem; étale cover
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) cell decomposition; Chow ring; Grassmannian variety; torus action
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) \(\ell\)-adic cohomology; intersection cohomology; Galois representation; symmetric form; alternating form; pure perverse sheaf; decomposition theorem; horizontal complex; alteration; Deligne-Mumford stack; Grothendieck-Witt group S. Sun and W. Zheng, Parity and symmetry in intersection and ordinary cohomology, Algebra Number Theory 10 (2016), 235--307.
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) networks; Laplacian; Hodge's decomposition; Helmholtz's decomposition; Poincaré decomposition; curl operator; discrete vector calculus; De Rham cohomology; compact manifold Bendito E., Carmona A., Encinas A.M., Gesto J.M.: A formula for the Kirchhoff index. Int. J. Quantum Chem. 108, 1200--1206 (2008)
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Givental decomposition; topological recursion; spectral curve; KdV tau function
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) fan subdivisions; toric \(h\)-polynomial; \(h^\ast \)-polynomial; \textit{cd}-index; filtrations
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) ECDLP; elliptic curves; decomposition method; index calculus; Semaev polynomials; multivariate polynomial systems; invariant theory Faugère J-C., Huot L., Joux A., Renault G., Vitse V.: Symmetrized summation polynomials: using small order torsion points to speed up elliptic curve index calculus. In: Proceedings of the Advances in Cryptology--EUROCRYPT 2014--33rd Annual International Conference on the Theory and Applications of Cryptographic Techniques, Copenhagen, Denmark, 11-15 May, pp. 40-57 (2014).
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) length of \(\mathcal{D}4\)-module; perverse sheaves; local systems; decomposition theorem
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) tensor decomposition; identifiability; secant variety C. Bocci, L. Chiantini, and G. Ottaviani, \textit{Refined methods for the identifiability of tensors}, Ann. Mat. Pura. Appl. (4), 193 (2014), pp. 1691--1702, .
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) 3-fold of general type; finiteness of canonical ring; Zariski decomposition X. Benveniste, Sur l'anneau canonique de certaines variétés de dimension 3, Invent. Math. 73 (1983), no. 1, 157 -- 164 (French).
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) motivic integration; motivic Fourier transforms; motivic exponential functions; \(p\)-adic integration; non-Archimedean geometry; Denef-Pas cell decomposition; quantifier elimination; uniformity in all local fields
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Zariski decomposition; chambers; big cone; volume; del Pezzo surfaces Bauer, Th.; Schmitz, D., Volumes of Zariski chambers, J. Pure Appl. Algebra, 217, 1, 153-164, (2013)
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) reductive connected algebraic group; unipotent element; irreducible components; variety of Borel subgroups; irreducible representations; permutation representation; Levi decomposition; irreducible cuspidal representation; Coxeter group; generalized Springer correspondence; special orthogonal groups; intersection cohomology G. Lusztig, Intersection cohomology complexes on a reductive group, Invent. Math. 75 (1984), no. 2, 205-272.
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) eigenspace; Laplacian; Hodge decomposition; Lefschetz decomposition
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) semi-orthogonal decomposition; derived category; algebraic stack
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Drinfeld modules; additive theta functions over global function; field; de Rham morphism; cycle integration; Hodge decomposition Ernst-Ulrich Gekeler, On the de Rham isomorphism for Drinfel\(^{\prime}\)d modules, J. Reine Angew. Math. 401 (1989), 188 -- 208.
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Segre varieties; tensor decomposition; Veronese variety; Segre-Veronese variety
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) De Rham cohomology; Hodge decomposition; period map; polarized Hodge structures
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) matrix factorization; semi-orthogonal decomposition; blowing-up; projective space bundle; dg enhancement Lunts, V. A.; Schnürer, O. M., Matrix factorizations and semi-orthogonal decompositions for blowing-ups, J. Noncommut. Geom., 10, 907-979, (2016)
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Okounkov bodies; Minkowski bases; Zariski decomposition; del Pezzo surfaces
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) toric varieties; fan; toric residue map Cattani, No article title, Compos. Math., 108, 35, (1997)
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) semi-orthogonal decomposition; symmetric product; gonality; Albanese map
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Hankel matrix; polynomial; exponential series; low rank decomposition; eigenvector; singular value decomposition
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) cylindrical algebraic decomposition; equational constraint Bradford, R.J., Davenport, J.H., England, M., McCallum, S., Wilson, D.J.: Truth Table Invariant Cylindrical Algebraic Decomposition (2014).
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) linear series; asymptotic multiplicity; Zariski decomposition Lesieutre, J.: A pathology of asymptotic multiplicity in the relative setting. (2015)
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) torus action; divisorial fan; additive group action; Demazure root; derivation; Lie algebra
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) determinant line bundle; vertex operators; loop group; Kac-Moody Lie algebras; affine algebras; infinite-dimensional Lie groups; central extensions; circle group; Grassmannian; polarized Hilbert space; Schubert cell decomposition; homogeneous space; complex manifold; Borel-Weil theory; spin representation; Kac character formula; Bernstein-Gel'fand- Gel'fand resolution
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) multiplier ideal; surface; integrally closed ideal; principal ideal; antinef closure; relative numerical decomposition Kevin Tucker, Integrally closed ideals on log terminal surfaces are multiplier ideals, Math. Res. Lett. 16 (2009), no. 5, 903 -- 908.
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) index calculus; elliptic curves; ECDLP; Edwards curves; Jacobi intersection curves; point decomposition problem; Gröbner basis with symmetries Faugère, J.-C.; Gaudry, P.; Huot, L.; Renault, G., Using symmetries in the index calculus for elliptic curves discrete logarithm, J. Cryptol., 27, 4, 595-635, (2013)
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) perverse cohomology sheaves; decomposition theorem for proper; Kähler morphisms; intersection cohomology; Kähler space; Hodge; Modules; vanishing cycles; hard Lefschetz property Saito, M., Decomposition theorem for proper Kähler morphisms, Tohoku Math. J. (2), 42, 2, 127-147, (1990)
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) stability condition; exceptional collection; cell decomposition
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) hypersurfaces; Schebert calculus; cubic hypersurfaces; cubic threefolds; cubic fourfolds; Pfaffian cubics; unirationality; rationality; Picard group; intermediate Jacobian; Albanese variety; Abel-Jacobi map; conic bundles; abelian varieties; Prym varieties; Hilbert square; varieties with vanishing Chern class; Calabi-Yau varieties; holomorphic symplectic varieties; Beauville-Bogomolov decomposition theorem
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) divisor (big); restricted volume; Zariski decomposition; Kähler manifold (compact); current Matsumura, Shin-ichi, Restricted volumes and divisorial Zariski decompositions, Amer. J. Math., 135, 3, 637-662, (2013)
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) algebraic map; fan; homogenous coordinate; primitive element; rational polyhedral cone; simplicial resolution; toric variety; Vassiliev spectral sequence Kozlowski, A.; Ohno, M.; Yamaguchi, K., Spaces of algebraic maps from real projective spaces to toric varieties, J. Math. Soc. Jpn., 68, 745-771, (2016)
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) \(F\)-crystal; stratification; Barsotti-Tate groups; Bruhat decomposition A. Vasiu, ''Mod \(p\) classification of Shimura \(F\)-crystals,'' Math. Nachr., vol. 283, iss. 8, pp. 1068-1113, 2010.
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) geometric invariant theory; group action; GIT-fan; parallel computation; Mori dream spaces
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) reductive algebraic group acting on a toroidal spherical variety; cellular decomposition; torus embeddding Brion M , Luna D , Sur la structure locale des variétés sphériques , Bull. Soc. Math. France 115 ( 1987 ) 211 - 226 . Numdam | MR 919424 | Zbl 0656.14028
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Schubert polynomials; nilCoxeter algebra; reduced decomposition S. Fomin and R. P. Stanley. ''Schubert polynomials and the NilCoxeter algebra''. Adv. Math. 103(1994), pp. 196--207.DOI.
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) counting; equidistribution; rational points; mixing; symmetric spaces; polar decomposition; resolution of singularities Y. Benoist, Effective equidistribution of \(S\)-integral points on symmetric varieties, Ann. Inst. Fourier (Grenoble), 62, 1889, (2012)
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) klt pairs; nef anti-canonical divisors; Beauville-Bogomolov decomposition; rational connectedness; MRC fibrations; positivity of direct image sheaves; singular Hermitian metrics; numerical dimension; numerical flatness; slope rationally connected quotients
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) fast matrix multiplication; polyadic tensor decompositions; eigenvalue decomposition
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) symplectic subspace; symplectic decomposition; symplectic Grassmannian
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Jacobian variety; isogenous decomposition; generalized Fermat curve Wiman, A.: Über die algebraischen Curven von den Geschlechtern \(p = 4, 5\) und \(6\), welche eindeutige transformationen in sich besitzen. Svenska Vet.-Akad. Handlingar Bihang till Handlingar \textbf{21}(I-3), 1-41 (1895)
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) real algebraic geometry; semidefinite programming; sums of squares decomposition; Reznick's representation; Putinar's representation; hybrid numeric-symbolic algorithm
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) symmetric tensor rank; additive decomposition of polynomials; Waring decomposition; identifiability
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) root system; fan; toric variety; cohomology; vector bundle; point over a finite field Gashi, Q.: A vanishing result for toric varieties associated with root systems, Albanian J. Math. 1, 235-244 (2007)
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) fan; valuation; tropical semiring; Puiseux series; tropical variety; polytopes Goncharov, A.B.: Pentagon relation for the quantum dilogarithm and quantized \({\mathcal M}^{\mathrm cyc}_{0,5}\). Progress in Math., vol. 265, pp. 415-428. Birkhäuser, Basel (2007)
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) algebraic curves; Jacobians; Prym varieties; isogeny of abelian varieties; decomposition theorems G. González-Diez, On prime Galois coverings of the Riemann sphere, Ann. Mat. Pura Appl. (4) \textbf{168} (1995), 1-15.
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) cylindrical decomposition; CAD; computing the topological type of a nonsingular real-algebraic curve; ovals S. Arnborg and H. Feng, Algebraic decomposition of regular curves, J. Symbolic Comput. 5 (1988) 131--140.
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) line bundle; Kähler form; positive current; Zariski decomposition; ample cone; Mori cone Olivier Debarre, Classes de cohomologie positives dans les variétés kählériennes compactes (d'après Boucksom, Demailly, Nakayama, Păun, Peternell et al.), Astérisque 307 (2006), Exp. No. 943, viii, 199 -- 228 (French, with French summary). Séminaire Bourbaki. Vol. 2004/2005.
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) decomposition into equidimensional components; probabilistic algorithm; finite set of polynomials; algebraic variety; complexity Jeronimo, G.; Sabia, J.: Probabilistic equidimensional decomposition, C. R. Acad. sci. Paris sér. I math. 331, No. 6, 485-490 (2000)
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) numerical algebraic geometry; cell decomposition; algebraic surface; algebraic curve; homotopy continuation; deflation
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Riemann surface; \(\bar{\partial}\)-operator; Hodge decomposition
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) intersection cohomology; Deligne-Lusztig varieties; decomposition numbers; unipotent blocks; finite reductive groups Dudas, Projective modules in the intersection cohomology of Deligne-Lusztig varieties, C. R. Acad. Sci. Paris Sér. I Math. 352 pp 467-- (2014)
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) rationality problem; stable rationality; decomposition of the diagonal; unramified cohomology; Lüroth problem
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) algebraic group; Lie group; Deodhar Stratification; generalized minor; chamber minor; double Schubert cell; double Bruhat cell; total positivity; cluster algebra; flag variety; Poisson structure; Bruhat decomposition Ben Webster and Milen Yakimov, A Deodhar-type stratification on the double flag variety, Transform. Groups 12 (2007), no. 4, 769-785.
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) algebraic cycles; Chow groups; motives; Hyperkähler varieties; non-symplectic automorphisms; \(K3\) surfaces; Calabi-Yau varieties; Bloch-Beilinson conjectures; weak splitting property; multiplicative Chow-Künneth decomposition 15. R. Laterveer, About Chow groups of certain hyperkähler varieties with non-symplectic automorphisms, to appear in Vietnam Journal of Mathematics.
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) generic programming; exact geometric computation; topology computation; cylindrical algebraic decomposition; algebraic surface DOI: 10.1016/j.cagd.2009.03.006
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) vector space; symmetric algebra; direct sum; irreducible polynomial GL(V)-modules; GL(V)-invariant ideals; action; decomposition formula; Pieri formulas Daszkiewicz, A.: On the invariant ideals of the symmetric algebra \(S{\cdot}\)(V\(\oplus{\Lambda}\)2V). J. algebra 125, 444-473 (1989)
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) overconvergent modular symbols overconvergent modular forms \(p\)-adic comparison isomorphisms Galois representations Hodge-Tate decomposition Andreatta, F; Iovita, A; Stevens, G, Overconvergent eichler-Shimura isomorphisms, J. Inst. Math. Jussieu, 14, 221-274, (2015)
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Bogomolov-Miyaoka-Yau inequality; Chern classes; Zariski decomposition; \(\mathbb{Q}\)-divisors DOI: 10.1112/S0024610701002320
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Beauville-Bogomolov decomposition theorem; varieties of Kodaira dimension zero; Calabi-Yau; holomorphic-symplectic varieties; minimal model theory Greb, D., Kebekus, S., Peternell, T.: Singular spaces with trivial canonical class. In: Minimal Models and Extremal Rays Proceedings of the Conference in Honor of Shigefumi Moris 60th Birthday, Advanced Studies in Pure Mathematics. Kinokuniya Publishing House, Tokyo (2011) (\textbf{to appear})
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Okounkov bodies; numerical equivalences; Zariski decomposition
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) exponent of contact; decomposition García Barroso, E.R., Płoski, A.: An approach to plane algebroid branches. (2011, in press)
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) hyper-Kähler manifold; second Betti number; LLV decomposition
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) component of solutions; embedding; irreducible component; irreducible decomposition; generic point; homotopy continuation; numerical algebraic geometry; multiplicity; path following; polynomial system; sampling; singularity; algorithm Sommese, A. J.; Verschelde, J.; Wampler, C. W.: A method for tracking singular paths with application to the numerical irreducible decomposition. Algebraic geometry, A volume in memory of paolo francia, vol. 286 286, 329-345 (2002)
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Pandharipande-Thomas invariants; toric Calabi-Yau; \(K\)-theory charges; twisted off-shell Lorentz group; BPS supertrace; virtual Bialynicki-Birula decomposition; Schwinger loop calculation Choi J, Katz S and Klemm A 2014 The refined BPS index from stable pair invariants \textit{Commun. Math. Phys.}328 903--54
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) derived category; semiorthogonal decomposition; equivariant sheaf; Springer correspondence; reflection group; Hochschild homology; equivariant cohomology
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) algebraic cycles; Chow ring; motives; Bloch-Beilinson filtration; hyperkähler variety; Lagrangian subvariety; constant cycle subvariety; (Hilbert scheme of) \(K3\) surface; Beauville's splitting property; multiplicative Chow-Künneth decomposition; spread of algebraic cycles
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) magnetostatics; Hodge decomposition; de Rham cohomology; minimal gauges; relative helicity formulas
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) derived category; Grassmannian; exceptional collection; Lefschetz decomposition Fonarev, A.: Minimal Lefschetz decompositions of the derived categories for grassmannians, Izv. RAN: ser. Mat. 77, 203-224 (2013)
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) convex cone; decomposition of a positive polynomial; real algebraic geometry; moment problems; subnormal operators; sum of squares of polynomials M. Putinar, \textit{Positive polynomials on compact semi-algebraic sets}, Indiana Univ. Math. J., 42 (1993), pp. 969--984, .
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Calabi-Yau manifolds; flops and derived categories; mutation of semiorthogonal decomposition
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) cylindrical algebraic decomposition; clusters of cells Arnon D.S. (1988). A cluster-based CAD algorithm. J. Symb. Comput. 5(1/2): 189--212
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) triangulation; fan; toric topology
| 0 |
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