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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) supergroups; modular representations; characters; sheaves; vector bundles; Borel subgroups; sheaf cohomology; flag varieties; irreducible representations; irreducible supermodules; cohomology modules; linkage principles; decomposition numbers Brundan, J, Modular representations of the supergroup \(Q\)(\(n\)). II, Pac. J. Math., 224, 65-90, (2006)
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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) marked poset polytopes; Minkowski sum decomposition; marked chain polytopes Fourier, G, Marked poset polytopes: Minkowski sums, indecomposables, and uni-modular equivalence, J. Pure Appl. Algebra, 220, 606-620, (2016)
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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) eigenvalues; sums of Hermitian matrices; decomposition of tensor products; representationof \(GL_n(\mathbb{C})\); invariant factors; products of matrices; Grassmannian varieties; singular W. Fulton, ''Eigenvalues, invariant factors, highest weights, and Schubert calculus,'' Bull. Amer. Math. Soc. (N. S.) 37(3), 209--249 (2000).
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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; Chow ring; simplicial fan; intersection theory
| 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) microlocal geometry; homological mirror symmetry; differential graded category; finite fan; toric stacks
| 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) PRV-conjecture; tensor product decomposition; branching rules Montagard, P-L; Pasquier, B; Ressayre, N, Two generalisations of the PRV conjecture, Compositio Math., 147, 1321-1336, (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) Calabi-Yau pair; toric pair; Minkowski 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) derived category; semiorthogonal decomposition; descent theory; algebraic variety Elagin, A.D.: Descent theory for semi-orthogonal decompositions. Mat. Sb. Ross. Akad. Nauk Ser. Mat. \textbf{203} (5), 33-64 (2012); translation in Sb. Math. \textbf{203}(5-6), 645-676 (2012)
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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) decomposition of Cremona transformation; projective equivalence of plane curves; complement of plane curve Yoshihara H.: On open algebraic surfaces \$\$\{\(\backslash\)mathbb\{P\}\^\{2\} - C\}\$\$ . Math. Ann. 268, 43--57 (1984)
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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) formal Zariski decomposition; algebraic 1-cycles; convexity; volume functions
| 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 groups; quadric bundles; motives; Chow-Künneth decomposition C. Vial, Algebraic cycles and fibrations, Doc. Math. 18 (2013), 1521-1553.
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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) anabelian geometry; pro-\(\ell \) groups; Galois theory; function fields; valuations theory; (Riemann) space of prime divisors; Hilbert decomposition theory; Parshin chains; decomposition graphs Pop, F., Recovering function fields from their decomposition graphs, 519-594, (2012), New York
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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) associated fan of toric variety; rank of the Picard group M. Eikelberg, Picard groups of compact toric varieties and combinatorial classes of fans, Results Math. 23 (1993), 251--293.
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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) mirror symmetry, Gromov-Witten theory, Fan-Jarvis-Ruan-Witten theory
| 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) reduced root system; root lattice; Weyl chambers; fan; toric variety; equivariant cohomology; algebraic torus Reid, M.: Canonical 3-folds, Journées de Géometrie Algébrique d'Angers, Juillet 1979/AlgebraicGeometry, Angers, 1979, pp. 273-310. Sijthoff & Noordhoff. Alphen aan den Rijn-Germantown, Md (1980)
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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) Gröbner fan; G-Hilbert scheme; toric singularity
| 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) elliptic surface; integral section; degenerated \((2, 3)\) 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) Picard group; compact toric variety; Cartier divisors; fan M. Eikelberg, ''The Picard group of a compact toric variety,''Res. Math. 22, 509--527 (1992) (see also his paper ''Picard groups of compact toric varieties and combinatorial classes of fans,'' ibid.,23, 251--293 (1993).
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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) orthogonal group; product decomposition; reflections; symplectic group; symmetries; conjugacy class; symplectic transvections Knüppel, F.: Products of simple isometries of given conjugacy types. Forum. math. 5, 441-458 (1993)
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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; Bloch's conjecture; Bloch-Beilinson filtration; hyperkähler varieties; Fano varieties of lines on cubic fourfolds; multiplicative Chow-Künneth decomposition; splitting property; finite-dimensional motive
| 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) Lefschetz submanifold; connected sum decomposition; projective manifolds; projective determinantals
| 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 cycle; Chow ring; motive; Bloch-Beilinson filtration; multiplicative Chow-Künneth decomposition; Calabi-Yau variety; supersingular 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) monodromy group of a branched covering; Hurwitz system; cellular decomposition; intersection matrix for the 1-cycles; homology basis; conformal self-mappings of Riemann surfaces; periods; quadratic periods; Abelian integrals; Klein-Hurwitz curve; Fermat curve; homogeneous linear differential equation Tretkoff, [Tretkoff and Tretkoff 84] C. L.; Tretkoff, M. D., Combinatorial group theory, Riemann surfaces and differential equations. contributions to group theory, 467--519, contemp. math., 33., \textit{Providence, RI: Amer. Math. Soc.}, (1984)
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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) Polya's representation; Putinar's representation; hybrid numeric-symbolic algorithm; real algebraic geometry; semidefinite programming; sums of squares 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) quantum cohomology; eigenvalues; trace; quadratic forms; Weyl's inequalities; Schur's and Fan's inequalities; Lidskii and Wielandt's inequalities; Horn's inequalities; quantum Schubert calculus; irreducible representations R. Bhatia, \textit{Linear Algebra to Quantum Cohomology: The Story of Alfred Horn's Inequalities}, Amer. Math. Monthly, 108 (2001), pp. 289--318.
| 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; toric sheaf; equivariant primary decomposition; sheaves of local cohomology Perling, M., Trautmann, G.: Equivariant primary decomposition and toric sheaves. Manuscripta Math. \textbf{132}(1-2), 103-143 (2010). arXiv:0802.0257. MR 2609290 (2011c:14051)
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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; toric ideal; blow-up; desingularization; rational singularity; resolution of singularities; divisors David A. Cox, Toric varieties and toric resolutions, Resolution of singularities (Obergurgl, 1997) Progr. Math., vol. 181, Birkhäuser, Basel, 2000, pp. 259 -- 284.
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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) Moishezon manifold; bimeromorphical equivalence; very ample; Hodge decomposition; not numerically effective canonical bundle Peternell, T.: A rigidity theorem for P\((C). Manuscripta Math., 50, 397-428 (1985).\)
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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) polynomial forms; Waring 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) Deodhar decomposition; Go-diagram; 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) Grassmannian; network; total positivity; Deodhar decomposition Talaska, K; Williams, L, Network parametrizations for the Grassmannian, Algebra Number Theory, 7, 2275-2311, (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) Zariski; decomposition; chamber; \(K3\) surface; Weyl Urbinati, S.: On the Properties of the Integral Part of Ample and Big Divisors. Master's thesis, Università degli Studi Roma Tre (2007).~http://ricerca.mat.uniroma3.it/users/lopez/Tesi-Urbinati.pdf
| 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) Kac-Moody-Lie algebra; chain complex; flag variety; action of Laplacian; Hodge type decomposition S. Kumar : Geometry of Schubert cells and cohomology of Kac-Moody Lie algebras , J. of Diff. Geometry 20 (1984) 389-432.
| 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 groups; motives; Bloch's conjecture; Bloch-Beilinson filtration; hyperkähler varieties; $K3$ surfaces; Hilbert schemes; Calabi-Yau varieties; non-symplectic automorphisms; multiplicative Chow-Künneth decomposition; splitting property; Beauville-Voisin conjecture; finite-dimensional motive
| 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) overconvergent \(p\)-adic representation; Iwasawa theory of \(p\)-adic representations; \(p\)-adic representation; Fontaine's theory; generalized Hodge-Tate decomposition F. Cherbonnier and P. Colmez, Représentations p-adiques surconvergentes, Invent. Math. 133 (1998), no. 3, 581-611.
| 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) partially symmetric tensor; semidefinite relaxation; tensor CP-decomposition; truncated moment problem; polynomial optimization
| 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) construct effectively a decomposition of a multivariate polynomial; effective zeros for a polynomial; standard ideal bases; double exponential problems; simple exponential problems Teissier, B.: Résultats récents d'algèbre commutative effective. Astérisque 718, 107-131 (1991)
| 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) V-filtration; flatness; fan
| 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) elimination theory; mixed subdivision; Newton polytopes; resultants; Laurent polynomials; sparse mixed resultant; extreme monomials; mixed polyhedral decomposition; mixed circuits; fiber polytope B. Sturmfels, ''On the Newton Polytope of the Resultant,'' J. Algebr. Combin. 3, 207--236 (1994).
| 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) polar curves; polar decomposition; equisingularity
| 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) lef line bundle; semismall map; ample bundles; first Chern class; hard Lefschetz theorem; Hodge-Riemann bilinear relations; Grauert contractibility criterion; Hodge index theorem; decomposition theorem; direct image of the constant sheaf; stratification; definite intersection forms M. A. de Cataldo and L. Migliorini, The hard Lefschetz theorem and the topology of semismall maps. \textit{Ann. Sci. École Norm. Sup. }(4) 35 (2002), 759--772.
| 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 sheaves; intersection cohomology; integral cohomology; torsion theories; \(t\)-structures; decomposition matrices; simple singularities; minimal nilpotent orbits Juteau, D., Decomposition numbers for perverse sheaves, \textit{Annales de l'Institut Fourier}, 59, 3, 1177-1229, (2009)
| 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) tropical variety; constant coefficient case; Grobner fan; generic initial ideals; Cohen-Macaulay; multiplicity; depth Römer, T.; Schmitz, K.: Algebraic properties of generic tropical varieties. Algebra number theory 4, No. 4, 465-491 (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) Clifford algebras; Euler characteristics; Quadratic fibrations; mirror symmetry; string theory; Calabi-Yau manifolds; nonlinear sigma models; Calabi-Yau manifolds; superstring theory; mirror symmetric pair; symplectic; Fukaya category; bounded derived category; Homological Projective Duality; complete intersection of quadrics; Lefshetz decomposition; non-commutative algebraic variety; Clifford non-commutative varieties; Hodge numbers; Batyrev's stringy Hodge numbers; Clifford-stringy Euler characteristics
| 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) complete flags; Drinfeld compactification; Laumon compactification; Kontsevich compactification; cell decomposition; Poincaré polynomial; rational curve; quasi-maps; stable maps; quasi-flags; small resolution of singularities; intersection cohomology Finkelberg M., Kuznetsov A.: Global intersection cohomology of Quasimaps' spaces. Int. Math. Res. Notices 7, 301--328 (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) Murre's conjectures; motives; uniruled 3-fold; conic bundle; Chow groups; Chow-Künneth decomposition Pedro Luis del Angel and Stefan Müller-Stach, Motives of uniruled 3-folds, Compositio Math. 112 (1998), no. 1, 1 -- 16.
| 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 geometry; secant varieties; tensor decomposition Bernardi, A.; Catalisano, M. V.; Gimigliano, A.; Idà, M., Secant varieties to osculating varieties of Veronese embeddings of \(\mathbb {P}^n\), J. Algebra, 0021-8693, 321, 3, 982-1004, (2009)
| 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) formal Laurent series; flat $G$-bundles; irregular connections; slope; irregularity; Jordan decomposition; fundamental strata; Weyl groups; Coxeter number
| 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; incidence graph of irreducible components of the Hilbert scheme; Borel fixed ideal Reeves, AA, The radius of the Hilbert scheme, J. Algebraic Geom., 4, 639-657, (1995)
| 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; CAD; solving inequalities; algebraic inequalities; semialgebraic sets; quantifier elimination Strzeboński, A. W., Cylindrical algebraic decomposition using validated numerics, Journal of Symbolic Computation, 41, 9, 1021-1038, (2006)
| 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 of diagonal; double solid; stable rationality Voisin, Claire, Unirational threefolds with no universal codimension \(2\) cycle, Invent. Math., 201, 1, 207-237, (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) polynomial system; computational algebraic geometry; numerical computation; homotopy continuation; symbolic computation; primary 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) position of surface; polar decomposition; Gauss-Mainardi-Codazzi equations; Bonnet theorem Pietraszkiewicz, W; Vallée, C, A method of shell theory in determination of the surface from components of its two fundamental forms, Z Angew Math Mech, 87, 603-615, (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) birational transformations; Cremona group; decomposition group; inertia group
| 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 semi-algebraic system; regular chain; lazy decomposition; triangular decomposition; border polynomial; fingerprint polynomial set Chen, C.; Davenport, J.H.; May, J.P.; Maza, M.M.; Xia, B.; Xiao, R., Triangular decomposition of semi-algebraic systems, J. symbolic comput., 49, 0, 3-26, (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) decomposition of zero-dimensional algebraic varieties; Gröbner bases; geometric theorem proving
| 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; Gale duality; Gröbner fan; secondary fan; initial ideals; toric ideals
| 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) projective variety; derived category; Poincaré-Verdier duality; bivariant theory; Gysin morphism; homology manifold; resolution of singularities; intersection cohomology; 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) extension theorem; holomorphic form; complex space; mixed Hodge module; decomposition theorem; rational singularities; pull-back
| 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) genus 3; period matrix; Abel-Jacobi map; Jacobian decomposition J. Guàrdia, Explicit geometry on a family of curves of genus 3, J. London Math. Soc. (2) 64 (2001), no. 2, 299 -- 310.
| 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) continued fractions; surface singularities; Hirzebruch-Jung singularities; cups singularities; convex geometry; toric geometry; plumbing; JSJ decomposition Popescu-Pampu, P.: The geometry of continued fractions and the topology of surface singularities. Singularities in geometry and topology 2004, pp. 119--195, Adv. Stud. Pure Math. vol. 46, Math. Soc. Japan (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) cylindrical algebraic decomposition McCallum S (1988) An improved projection operator for cylindrical algebraic decomposition of three dimensional space. J Symb Comput 5:141--161
| 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) signature tensors; congruence action; tensor decomposition; identifiability; inverse problems; optimization
| 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) stratification of real semi-algebraic sets; decomposition; generalized point location problem B. Chazelle, H. Edelsbrunner, L. J. Guibas, and M. Sharir, A Singly-Exponential Stratification Scheme for Real Semi-Algebraic Varieties and Its Applications,Proc. 16th ICALP, Lecture Notes in Computer Science, Vol. 372, Springer-Verlag, Berlin, 1989, 179--193.
| 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) loop groups; compact Lie group; flag variety; Schubert cell decomposition; Tits system; Bott-Samelson theorems; Bott periodicity Mitchell, S.A.: Quillen?s theorem on buildings and the loops on a symmetric space. Enseign. Math., II. Sér. 34, 123-166 (1988)
| 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) skew-symmetric rank; apolarity; tensor 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) Zariski decomposition; nef; effective; semi-ample; birational; divisor Yu. G. Prokhorov, On the Zariski decomposition problem, Tr. Mat. Inst. Steklova 240 (2003), Biratsion. Geom. Lineĭn. Sist. Konechno Porozhdennye Algebry, 43--72; translation in Proc. Steklov Inst. Math. 240 (2003), no. 1, 37--65.
| 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; quantifier elimination; semialgebraic sets; solving inequalities Strzeboński, A.: Cylindrical algebraic decomposition using local projections. In: Proceedings of ISSAC 2014, pp. 389--396. ACM (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) Stanley decomposition; bracket ring; shelling of the simplicial complex; standard tableaux; nilpotent vector fields B. Sturmfels and N. White, Stanley decompositions of the bracket ring, Math. Scand. 67(1990)183-189.
| 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 quivers; bilinear forms; matrices; orbit space; action; indecomposable representations; conjecture of Kac; cellular decomposition; affine components; zeta-functions L. Le Bruyn, Centers of Generic Division Algebras and Zeta-functions, Granada 1986, Lecture Notes in Mathematics, 1328, Springer
| 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 decompostion; Zariski decomposition; Zariski chamber Patrycja Łuszcz-Świdecka; David Schmitz, Minkowski decomposition of Okounkov bodies on surfaces, J. Algebra, 414, 159-174, (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) quadratic forms; Pfister forms; Witt ring; function field of a quadric; generic splitting; Brauer group; Brauer-Wall group; index reduction; Galois cohomology; Milnor \(K\)-theory; Milnor conjecture; unramified Witt ring; unramified cohomology; algebraic cycles; Rost motive; motivic decomposition; Steenrod operations Kahn, B.: Formes Quadratiques sur un Corps. Société Mathématique de France, Paris (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) Hecke algebra; affine Weyl group; Grothendieck group; simple J-modules; direct sum decomposition; left cells Lusztig G. Cells in affine Weyl groups, III. J Fac Sci Univ Tokyo Sect IA Math, 1987, 34: 223--243
| 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) Chow rings; decomposition of the diagonal; and the topology of families Voisin, C., \textit{Chow Rings, Decomposition of the Diagonal, and the Topology of Families}, (2014), Princeton University Press, and Oxford
| 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) commutative algebra; computational commutative algebra; Gröbner bases; computer algebra system, algorithmic algebraic geometry; primary decomposition; finite free resolution; normalization Greuel Gert-Martin, Pfister Gerhard (2008) A Singular introduction to commutative algebra. Springer, Berlin, extended edition. With contributions by Olaf Bachmann, Christoph Lossen and Hans Schönemann, With 1 CD-ROM. Windows, Macintosh and UNIX
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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) semirings; (semi)modules; bilinear forms; quadratic forms; symmetric forms; orthogonal decomposition Z.~Izhakian, M.~Knebusch, and L.~Rowen, Quadratic and symmetric bilinear forms on modules with unique base over a semiring, \emph{Documenta Mathematica}, 21:773--808, 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) Betti numbers of a complete symmetric variety; Poincaré polynomial; cellular decomposition; rational points Corrado De Concini and Tony A. Springer, \(Betti numbers of complete symmetric varieties. \)Geometry today (Rome, 1984), 87--107, Progr. Math., 60, Birkhauser Boston, Boston, MA, 1985.
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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) Mumford curves; Hodge decomposition; Gauß-Manin connection; variation of Hodge structure de Shalit, E.: Differentials of the second kind on Mumford curves. Isr. J. Math. 71, 1--16 (1990)
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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) moduli stacks; principal bundles; geometric Langlands; Jordan-Chevalley decomposition; elliptic curve
| 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) Comon's conjecture; tensor decomposition; Waring 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) p-adic analytic geometry; adic spaces; global Fourier transform; local Fourier transform; stationary phase; break decomposition; Hasse-Arf filtration; determinant of cohomology; epsilon factors Ramero, L., Hasse-arf filtrations in p-adic analytic geometry, J. Algebraic Geom., 21, 1, 97-182, (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) variation of Hodge structure; Fujita decomposition; Kodaira-Spencer map; infinitesimal deformation; supporting divisor
| 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) Grothendieck-Riemann-Roch theorem; Deligne-Mumford stack; cohomology with coefficients in representations; equivariant \(K\)-theory; Vistoli's decomposition theorem; étale descent; homological descent; Chow envelope Bertrand Toën, ``Théorèmes de Riemann-Roch pour les champs de Deligne-Mumford'', K-Theory18 (1999) no. 1, p. 33-76
| 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; categorical quotient; geometric invariant theory; algorithm; fan A'campo-Neuen, A.; Hausen, J.: Quotients of toric varieties by the action of a subtorus. Tôhoku math. J. 51, 1-12 (1999)
| 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) resolution of singularities; affine toric 3-varieties; dual cone; lattice cone; fan; quotient singularities
| 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) Chow group; Murre's conjectures; Chow-Künneth decomposition; algebraic cycle Iyer, Jaya NN; Müller-Stach, Stefan, Chow-Künneth decomposition for some moduli spaces, Doc. Math., 14, 1-18, (2009)
| 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; intersection homology; perservity; divisor class group; fan G. BARTHEL, J. -P. BRASSELET, K. -H. FIESELER UNO L. KAUP, Invariante Divisoren un Schnitthomologie von torischen Varietaten. Banach Center Publications, ''Parameter Spaces'', Vol. 36, Warszawa 1996, ed. P. Pragacz, pp. 9-23.
| 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) MMP; rational curve; Zariski decomposition; Kähler manifold Andreas Höring & Thomas Peternell, ''Mori fibre spaces for Kähler threefolds'', J. Math. Sci., Tokyo22 (2015) no. 1, p. 219-246
| 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 of compact complex varieties; cancellation problem Horst, C.: Decomposition of compact complex varieties and the cancellation problem. Math. Ann.271, 467-477 (1985)
| 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) Berkovich spaces; dual complex; Kato fan
| 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; Calabi-Yau; holomorphic symplectic manifolds
| 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 torus; locally nilpotent derivation; complexity; lattice; fan; polyhedral divisor Llendo, A, Affine \(T\)-varieties of complexity one and locally nilpotent derivations, Transform. Groups, 15, 389-425, (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) Brieskorn-Pham surface; toric environment; minimal surface singularities; smooth curves in a surface singularity; Newton fan Jiang, G; Oka, M; Duc, TP; Siersma, D, Lines on Brieskorn-pham surfaces, Kodai Math. J., 23, 214-223, (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) toroidal compactifications; generalised ball quotients; maximal parabolic subgroups; Siegel domain 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) symmetric variety; equivariant Poincaré series; fan; Satake diagram [S] Strickland, E.: Equivariant Betti numbers for symmetric varieties. J. Algebra (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) intersection theory; divisors with normal crossings; constructible functions; Chern classes; weak factorization; Cartier divisors; monodromy decomposition; motivic group; motivic Milnor fiber Aluffi, Paolo: Verdier specialization via weak factorization. Ark. mat. 51, No. 1, 1-28 (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) singular vector tuples; vector bundles; Chern classes; partially symmetrix tensors; homogeneous pencil eigenvalue problem for cubic tensors; singular value decomposition; best rank-one approximation; best rank-\((r_1,\dots,r_d)\) approximation S. Friedland and G. Ottaviani, \textit{The number of singular vector tuples and uniqueness of best rank-one approximation of tensors}, Found. Comput. Math., 14 (2014), pp. 1209--1242.
| 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) group algebra decomposition; Jacobians with group action; compact Riemann 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) strong approximation; purity; Brauer-Manin obstruction; (linear) algebraic groups; Bruhat decomposition; homogeneous 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) algebraic varieties; positivity of curves; mobility of cycles; volume-type function; Zariski decomposition
| 0 |
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