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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 group; motive; Bloch-Beilinson filtration; Beauville's ``splitting property'' conjecture; multiplicative Chow-Künneth decomposition; Fano threefolds; tautological ring
| 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 cohomology; decomposition theorem; algebraic torus actions
| 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) Bruhat decomposition; equivariant compactification; regular embedding; spherical homogeneous space; Schubert cycles M. Brion. ''The behaviour at infinity of the Bruhat decomposition''. Comment. Math. Helv. 73(1998), pp. 137--174.DOI.
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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 into monoidal transformations; 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) torus fibrations; 4-manifold; elliptic surface; handlebody; decomposition without 1 or 3-handles; signature; singular fibers
| 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; Azumaya algebra; twisted form of Grassmannian; semiorthogonal 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) simplicial fan; Todd class; toric variety; Chow group Pommersheim, Products of cycles and the Todd class of a toric variety, J. Amer. Math. Soc. 9 (3) pp 813-- (1996)
| 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; tensor decomposition; secant variety; hyperdeterminant; tangential variety A. Seigal and B. Sturmfels, \textit{Real rank two geometry}, J. Algebra, 484 (2017), pp. 310--333, .
| 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.: Computation with semialgebraic sets represented by cylindrical algebraic formulas. Proceedings of the international symposium on symbolic and algebraic computation, 61-68 (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) matrix manifold; retraction; geodesic; Grassmannian; Stiefel manifold; Riemannian exponential; matrix exponential; polar decomposition; unitary group; geometric mean; Karcher mean E. S. Gawlik and M. Leok, \textit{High-Order Retractions on Matrix Manifolds Using Projected Polynomials}, preprint, , 2017.
| 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) coadjoint orbit; Iwasawa decomposition; isotropic foliation; Lagrangian fibration; Cartan subalgebra; conjugacy class DOI: 10.1007/s10711-012-9791-4
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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) discrete curves; decomposition; exact symmetries; approximate symmetries; perturbation
| 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) divisive weight vector; equivariant \(K\)-theory; fan; piecewise Laurent polynomial; weighted projective space 10.2748/tmj/1486177213
| 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 decomposition; secant varieties Robbiano, L., Abbott, J., Bigatti, A., Caboara, M., Perkinson, D., Augustin, V., Wills, A.: CoCoA, a system for doing computations in commutative algebra, available via anonymous ftp from cocoa.unige.it. 4.7 edition
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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) \( \mathbb{Q}\)-factorial complete toric varieties; fibration; toric projective bundle; gale duality; secondary fan; primitive collection; primitive relation; fan matrix; weight matrix; nef divisors; big divisors; nef cone; moving cone; pseudo-effective cone; Picard number; poly weighted 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) spherical variety; conjugacy class; Bruhat decomposition G. Carnovale, Spherical conjugacy classes and involutions in the Weyl group, Math. Z. 260 (2008), no. 1, 1\ 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) tropical curve; secondary fan; Severi variety; enumerative problem; intersection theory Katz, E., Tropical invariants from the secondary Fan, Adv. Geom., 9, 153-180, (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) root isolation; root refinement; root finding; curve analysis; topology computation; bivariate polynomial system; complexity analysis; cylindrical algebraic decomposition Mehlhorn, K.; Sagraloff, M.; Wang, P., From approximate factorization to root isolation with application to cylindrical algebraic decomposition, J. Symb. Comput., 66, 0, 34-69, (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) three-dimensional toric variety; subdivision of fan; desingularization; Euler characteristic Aguzzoli, S.; Mundici, D., An algorithmic desingularization of 3-dimensional toric varieties, \textit{Tohoku Math. J.}, 46, 4, 557-572, (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) semisimple Lie algebra; commuting variety; Cartan subspace; quaternionic decomposition; nilpotent orbit; Jordan 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) degeneracy loci; irreducible decomposition; Ehresmann-Bruhat-Chevalley 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) harmonic forms; Aeppli groups; Stampacchia-type inequality; Hodge-Kodaira 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) Waring problem; polynomial decomposition; symmetric rank; symmetric tensors; Veronese varieties; secant varieties Ballico, E; Bernardi, A, Unique decomposition for a polynomial of low rank, Ann Polonici Math, 108, 219-224, (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) toric variety; multi-fan; compact torus; Todd genus; equivariant Riemann-Roch index M. Masuda, Unitary toric manifolds, multi-fans and equivariant index. \textit{Tohoku Math. J}. (2) \textbf{51} (1999), 237-265. MR1689995 Zbl 0940.57037
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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) derived categories; semiorthogonal decomposition; projectivization; flops; determinantal varieties; curves; nested Hilbert schemea
| 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) irreducible characters; finite groups of Lie type; connected reductive group; Frobenius map; maximal torus; Borel subgroup; Deligne-Lusztig virtual characters; \(\ell \)-adic cohomology; semisimple classes; Jordan decomposition; irreducible constituents
| 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 method; binary representation; scalar multiplication
| 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) double covers; crepant resolution; primary decomposition; Calabi-Yau varieties
| 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) Weierstrass \(\zeta\)-function; cusp forms; Fourier coefficients; Hodge decomposition Duke, W., Imamo\(\overline{\text{g}}\)lu, Ö, Tóth, Á: Regularized inner products of modular functions. Ramanujan J. (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) stability conditions; relative hypersurfaces; Nakayama-Zariski decomposition; log canonical thresholds; \(f\)-positivity Barja, MA; Stoppino, L., Stability and singularities of relative hypersurfaces, Int. Math. Res. Not. IMRN, 4, 1026-1053, (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) fibrations; Fujita decomposition; holomorphic forms; Massey products; irrational pencils
| 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 manifold; direct 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) reduction of Shimura varieties; affine Deligne-Lusztig varieties; Newton stratification; Hodge-Newton 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) generic division algebra; generic n\(\times n\) matrices; stable rationality; centre; moduli spaces; cellular decomposition conjecture; finite-dimensional hereditary algebras; zeta-functions; tori-invariants
| 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) Bialynicki-Birula decomposition; Poincaré 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) Minkowski sum; normal; integer decomposition property; edge polytope
| 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 A. Pressley and G. Segal, \textit{Loop Groups}, Clarendon Press, Oxford (1986).
| 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 equations; polynomial inequations; solutions of polynomial systems; Thomas algorithm; counting polynomial; simple systems; triangular decomposition W. Plesken, ''Counting solutions of polynomial systems via iterated filtrations,'' Arch. Math., 92, 44--56 (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) Gröbner fan; tropical variety; graded ideal; polynomial ring Römer, T., Schmitz, K.: Generic tropical varieties. J. Pure Appl. Algebra 216(1), 140--148 (2012). http://www.sciencedirect.com/science/article/pii/S0022404911001290
| 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) smooth toric surfaces; fan; Gaussian map; Hirzebruch surfaces Murray, G.: The Gaussian Map for Smooth Toric Surfaces. In: Math. Zeitschrift, vol. 227, pp.187--210. Springer, Heidelberg (1998)
| 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; Beauville's splitting property; multiplicative Chow-Künneth decomposition; Fano varieties of \(K3\) type
| 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) Lie group; \(SL(2; \mathbb{R})\) group; invariants; Möbius transformation; homogeneous spaces; Iwasawa 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) definability; Poincaré series; cell decomposition J. Denef, ''On the evaluation of certain \(p\)-adic integrals,'' in Séminaire de Théorie des Nombres, Paris 1983-84, Boston, MA: Birkhäuser, 1985, pp. 25-47.
| 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) vector bundles; Krull-Schmidt decomposition; splitting criteria
| 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) Bochner-Martinelli integral representation; projective space; volume form; fan Kytmanov A. M., ''An analog of the Fubini-Studi form for two-dimensional toric varieties,'' Siberian Math. J., 44, No. 2, 286--297 (2003).
| 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 surface; topology computation; cylindrical algebraic decomposition Berberich E., Kerber M., Sagraloff M.: An efficient algorithm for the stratification and triangulation of an algebraic surface. Comput. Geom. Theory Appl. (CGTA) 43(3), 257--278 (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 geometry; tropical variety; tropical basis; Gröbner fan; Bergman fan Bogart, T., Jensen, A., Speyer, D., Sturmfels, B., Thomas, R.: Computing tropical varieties. J. Symb. Comput. \textbf{42}(1-2), 54-73 (2007). Effective Methods in Algebraic Geometry (MEGA 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) Chow groups; cubic hypersurfaces; decomposition of the diagonal Voisin, C.: On the universal \(CH_0\) group of cubic hypersurfaces. J. Eur. Math. Soc. (JEMS) \textbf{19}(6), 1619-1653 (2017)
| 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) Newton-Bernstein polyhedron; Bernstein polynomial; differentials; coherent \({\mathcal D}\)-modules; vanishing cycles; multi-filtrations; finiteness; fan C. Sabbah. Proximité évanescente I. La structure polaire d'un D-module. Compos. Math. 62 (1987), 283-328.
| 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) mirror symmetry; Fano manifold; Laurent polynomial; mutation; cluster transformation; Minkowski decomposition; Minkowski polynomial; Newton polytope; Ehrhart series; quasi-period collapse M. Akhtar, T. Coates, S. Galkin, A. M. Kasprzyk, Minkowski polynomials and mutations. \textit{SIGMA Symmetry Integrability Geom. Methods Appl}. \textbf{8} (2012), Paper 094, 17. MR3007265 Zbl 1280.52014
| 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; topology; cell decomposition; graphs; Euler characteristic; Betti numbers; fundamental 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) log structure; Chevalley-Shephard-Todd; toric stack; stacky fan; resolution of singuarities Matthew Satriano, Canonical Artin stacks over log smooth schemes, Math. Z. 274 (2013), no. 3-4, 779 -- 804.
| 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 fibered surface; quotient by complex conjugation; connected sum decomposition; four-manifold; topology of real algebraic curves on algebraic 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) branched covering; \(CW\)-complex; isomorphism class; cellular decomposition; fundamental group; trigonal curve; real algebraic variety; Hurwitz space; compactification
| 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) flag manifold; Schubert varieties; smoothness; rational smoothness; Billey-Postnikov decomposition; Coxeter group; enumeration; generating function Edward Richmond and William Slofstra, Staircase diagrams and enumeration of smooth Schubert varieties. J. Combin. Theory Ser. A 150 (2017), 328--376.
| 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) Approximate factorization; Divided differences; Generic points; Homotopy continuation; Irreducible decomposition; Newton interpolation; Numerical algebraic geometry; Monodromy; Multiple roots; Polynomial; Stewart--Gough platform; Symbolic-numeric computation; Traces; Witness points A. Sommese, J. Verschelde and C. Wampler, \textit{Numerical factorization of multivariate complex polynomials}, Theoret. Comput. Sci. 315 (2004), 651-669.
| 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) Weyl chambers; Zariski chambers; 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) cryptography; cryptanalisis; key exchange; linear 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) polyhedra and polytopes; convex sets in n dimensions; strongly polytopal fan; algebraic variety; projective 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) augmented base locus; \(q\)-ample divisor; Zariski decomposition Choi, S.: On partially ample divisors, Math. nachr. (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) normal crossings; cohomology; dual complex; rational singularities; Hodge decomposition; toric varieties Bakhtary, P, On the cohomology of a simple normal crossings divisor, J. Algebra., 324, 2676-2691, (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) redundant blow-up; rational surface; Cox ring; Mori dream surfaces; Zariski decomposition Hwang, D., Park, J.: Cox rings of rational surfaces and redundant blow-ups. Trans. Am. Math. Soc. (2015, 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) efficient endomorphism; elliptic curve scalar multiplication; integer sub-decomposition method; j-invariant 1728; quadratic 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) Bruhat ordering; Coxeter group; Bruhat cell decomposition; generalized flag manifold; semisimple algebraic group; Kazhdan-Lusztig polynomials; shellability
| 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) complex toric variety; invariant Cartier divisors; Weil divisors; Poincaré duality; fan; Betti numbers; integral cohomology DOI: 10.2748/tmj/1178225338
| 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) Chevalley group; universal enveloping algebra; central extension; simple group; root system; fundamental weight; root lattice; weight lattice; highest weight; twisted group; irreducible representation; Bruhat decomposition R. Steinberg, \textit{University Lecture Series. Vol. 66: Lectures on Chevalley groups}, AMS Press, Providence U.S.A. (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) hyperelliptic curves; index calculus algorithm; Nagao's decomposition; Joux-Vitse sieving
| 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) two-dimensional residue; parametrization; reduced decomposition Biernat, G., Reduction of Two-dimensional Residues to the One-dimensional Case, Bull. Soc. Sci. Lett. Łódź, 1989, vol. 39, no. 15, 14 pp.
| 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) effective divisor; finite generation of canonical ring of a threefold; Zariski decomposition Cutkosky S.D., Zariski decomposition of divisors on algebraic varieties. Duke Math. J., 1986, 53(1), 149--156
| 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; Kulikov surface; Burniat surface; Beauville surface; semiorthogonal decomposition; exceptional sequence; Hochschild homology Coughlan, Stephen, Enumerating exceptional collections of line bundles on some surfaces of general type, Doc. Math., 20, 1255-1291, (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) computer algebra; Gröbner bases; primary decomposition; syzygies; integral closure Vasconcelos, W.V.: Computational Methods in Commutative Algebra and Algebraic Geometry. Springer, New York (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) decomposition theorem; higher direct images; semipositive vector bundles Fujisawa, T.: A remark on the decomposition theorem for direct images of canonical sheaves tensorized with semipositive vector bundles. Preprint. arXiv:1512.03887v1
| 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) semiorthogonal decomposition; exceptional collection; twisted sheaf Elagin, A.: Semi-orthogonal decompositions for derived categories of equivariant coherent sheaves. Izv. ross. Akad. nauk ser. Mat. 73, No. 5, 37-66 (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) tensor decomposition; Waring problem; eigenvector of tensor; Macaulay2 L. Oeding and G. Ottaviani, \textit{Eigenvectors of tensors and algorithms for Waring decomposition}, J. Symbolic Comput., 54 (2013), pp. 9--35.
| 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) Schur group; classes in the Brauer group; group ring; extensions of automorphisms; decomposition of central simple algebras; Schur index Mollin, R. A.: More on the Schur group of a commutative ring. Internat. J. Math. math. Sci. 8, 275-282 (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) algebraic cycles; multiplicative Chow-Künneth 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) secant Varieties; Segre Varieties; tensor decomposition C. Bocci and L. Chiantini, \textit{On the identifiability of binary Segre products}, J. Algebraic Geom., 22 (2013), pp. 1--11, .
| 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 ideal; binomial ideal; Gröbner basis; degree bound; radical; Thue system; cellular decomposition; computational complexity
| 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 rank; tensor decomposition; cactus rank; zero-dimensional scheme; Segre embedding
| 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) equidimensional decomposition of algebraic variety; symbolic Newton algorithm; sparse resultant; overdetermined polynomial equation system Gabriela Jeronimo, Teresa Krick, Juan Sabia, and Martín Sombra, The computational complexity of the Chow form, Found. Comput. Math. 4 (2004), no. 1, 41 -- 117.
| 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) Veronese variety; tangential variety; join; polynomial decomposition DOI: 10.1090/S0002-9939-2012-11191-8
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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) hyperplane arrangement; tropical geometry; Bergman fan
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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; multiplicative Chow-Künneth decomposition; splitting property; finite-dimensional motive
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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; log minimal model DOI: 10.1215/00277630-2781096
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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) Fano threefolds; moduli space of vector bundles; ACM vector bundles; Brill-Noether theory for vector bundles on curves; semiorthogonal decomposition; Lagrangian submanifolds of symplectic manifolds M. C. Brambilla and D. Faenzi, Vector bundles on Fano threefolds of genus 7 and Brill-Noether loci, preprint, 2008, \(\langle \)http://arxiv.org/abs/0810.3138\(\rangle.\)
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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) birational geometry; minimal model; flops; flopping; tilting bundle; GIT chamber decomposition; crepant projective birational morphism; mutation; mutation functor; wall crossing; Auslander-McKay correspondence; homological MMP; derived equivalence; compound du Val singularities; maximal modification module; MM module M. Wemyss, Aspects of the homological minimal model program, preprint (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) Waring decomposition; Kruskal's criterion; Cayley-Bacharach property; Castelnuovo's lemma; identifiability of symmetric tensors
| 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) star configurations; symbolic power; basic double \(G\)-link; arithmetically Cohen-Macaulay; ACM; primary decomposition; resurgence
| 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) Fano threefold; derived category; Fourier-Mukai functor; semiorthogonal decomposition A. Beauville, Les singularités du diviseur \(\Theta \) de la jacobienne intermédiaire de l'hypersurface cubique dans \(\mathbb{P}^4\), In: Algebraic Threefolds, Varenna, 1981, Lecture Notes in Math., \textbf{947}, Springer-Verlag, 1982, pp. 190-208
| 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) resolution of cusp singularities; Shintani decomposition; totally real cubic number fields; Hilbert modular variety; family of cubics; evaluation of zeta-function DOI: 10.1007/BF01359864
| 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) Hilbert polynomials; Hilbert functions; tight fan Roberts, L. G.: Hilbert polynomials and minimum Hilbert functions. Queen's papers in pure and appl. Math. 61 (1982)
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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) \(q\)-deformed \(W\)-algebra; LDU decomposition; Carlsson-Okounkov Ext operator
| 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) deformations of Klein curve; group of automorphisms; deformations of Riemann surfaces; Torelli theorem; abelian differentials; Hodge decomposition; geodesics; quadratic differentials
| 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) hard Lefschetz theorem; Hodge-Riemann relation; Bergman fan; matroid
| 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) Denjoy-Carleman quasi-analytic classes; strongly log convex sequence; o-minimal structures; analytic cell-decomposition J.-P. Rolin, P. Speissegger, and A. Wilkie, \textit{Quasianalytic Denjoy-Carleman classes and o-minimality}, J. Amer. Math. Soc., 16 (2003), pp. 751--777.
| 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) Diminished base locus; Zariski decomposition; Numerically effective; Cremona transformations Lesieutre, J.: The diminished base locus is not always closed. Compositio Math (2015, 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) toric Deligne-Mumford stack; integral Chow ring; Stanley-Reiser ring of stacky fan Jiang, Y.; Tseng, H. -H.: The integral (orbifold) Chow ring of toric Deligne-Mumford stacks. Math. Z. 264, 225-248 (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) principally polarized abelian variety; group algebra decomposition; induced polarization Lange, H; Rodríguez, RE; Rojas, AM, Polarizations on abelian subvarieties of principally polarized abelian varieties with dihedral group action, Math. Z., 276, 397-420, (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) decomposition of the normal bundle; locally complete intersection Frédéric Méguin, Triple structures on smooth surfaces of \?\(_{4}\), C. R. Acad. Sci. Paris Sér. I Math. 323 (1996), no. 10, 1119 -- 1122 (English, with English and French summaries).
| 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) normal bundle; rational curves; splitting type of normal bundles; Waring decomposition; Grassmannians Bernardi, A, Normal bundle of rational curves and Waring decomposition, J. Algebra, 400, 123-141, (2014)
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