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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) reductive group; semisimple Lie algebra; decomposition variety; Jordan decomposition; regular element; nilpotent orbit A. Broer, \textit{Decomposition varieties in semisimple Lie algebras}, Canad. J. Math. \textbf{50} (1998), 929-971.
| 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) multiple zeta values; mixed Tate motives; Bialynicki-Birula decomposition theorem; Voevodsky's triangulated category Müller-Stach, S.; Westrich, B., Motives of graph hypersurfaces with torus operations
| 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 of coherent sheaves; semiorthogonal decomposition; full exceptional collection
| 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) transcendental algebraic geometry; Kählerian geometry; Hodge theory; Hodge decomposition; Lefschetz decomposition; Hodge index theorem; de Rham complex; Frölicher spectral sequence; variations of Hodge structures; period domain; algebraic cycles; Deligne cohomology; Abel-Jacobi map C. Voisin, \textit{Hodge theory and complex algebraic geometry. I}. Translated from the French original by Leila Schneps, Cambridge Studies in Advanced Mathematics, 76, Cambridge University Press, Cambridge, 2002.Zbl 1005.14002 MR 1967689
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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) Cremona transformations; plane curves; decomposition group; inertia group ---, Sur le sous-groupe de décomposition d'une courbe irrationnelle dans le groupe de Cremona du plan, Michigan Math. J. 55 (2007), 285-298.
| 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) multivariate cryptography; algebraic cryptanalysis; Section Finding Problem (SFP); Gröbner bases; decomposition of ideals Faugère, Jean-Charles; Spaenlehauer, Pierre-Jean, Algebraic cryptanalysis of the PKC'2009 algebraic surface cryptosystem, 35-52, (2010), Berlin, Heidelberg
| 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 decomposition; complex identifiability; real identifiability; numerical algebraic geometry; Hessian criterion
| 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) general presentation; representation of algebra; canonical decomposition; quiver with potential; cluster complex Derksen, H.; Fei, J., General presentations of algebras, Adv. Math., 278, 210-237, (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) \(o\)-minimal structure; cell decomposition; definable sets; stratification; invariance of domain
| 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; Minimal model program; Birational geometry; Semi-orthogonal decomposition; Saturated triangulated category Kawamata, Y., \textit{derived categories and birational geometry}, Algebraic geometry, Seattle 2005, part 2, 655-665, (2009), American Mathematical Society, Providence, RI
| 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; Bloch-Beilinson filtration; Bloch's conjecture; Chow groups; (double) EPW cubes; hyperkähler varieties; \(K3\) surfaces; motives; multiplicative Chow-Künneth decomposition; non-symplectic involution; splitting property
| 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) Grassmannians; decomposition theorem; module 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) bit complexity; certified algorithms; cylindrical algebraic decomposition; numerical algorithms; root isolation; root refinement Mehlhorn, K.; Sagraloff, M.; Wang, P.: From approximate factorization to root isolation, 283-290 (2013)
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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) Schur roots; generic decomposition; finite quiver; dimension vectors; indecomposable representations; root system; endomorphism rings; indecomposable roots; reflections
| 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) natural decomposition of Picard group; Noetherian ring; finite normalization; seminormality Asanuma, T, Picr[X,X\(-\)1] for R a one-dimensional reduced Noetherian ring, J. Pure Appl. Algebra, 71, 111-128, (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) singular value decomposition; homology; complex; 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) derived category of coherent sheaves; full exceptional collection; 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) binary form; homogeneous polynomial; Waring decomposition; rank
| 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) Gromov-Yomdin reparametrization; cellular decomposition; topological entropy; Diophantine geometry
| 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) classification of toric varieties; Picard number; regular fan of convex cones Batyrev, V V, On the classification of smooth projective toric varieties, Tôhoku Math. J., Ser. 2, 43, 569-585, (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) Betti numbers of a graded module; pure resolution; Multiplicity Conjecture; simplicial fan; sheaf with natural cohomology Eisenbud, D.; Schreyer, D., Betti numbers of graded modules and cohomology of vector bundles, \textit{J. Amer. Math. Soc.}, 22, 3, 859-888, (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) canonical polyadic decomposition; Riemannian optimization; trust region method; Gauss-Newton method
| 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) affine algebraic varieties; linear algebraic groups; groups of rational points; Jordan decomposition; conjugacy classes; semi-simple elements
| 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) blowing up; toric variety; birational cobordism; decomposition of a birational mapping Bonavero, L.: Factorisation faible des applications birationnelles. Astérisque 282 (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) complex manifold; isogeny; torus; cancellation problem; product decomposition Horst, C.: On product decompositions of complex spaces. Habilitationsschrift, Universität München
| 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) Castelnuovo-Mumford regularity; binomial ideal; ear 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) truncated moment problems; moment matrix extensions; rank-one decomposition; consistency
| 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) Bernstein-Sato ideal; \(D\)-module; Gröbner base; decomposition Bahloul R., Oaku T.: Local Bernstein--Sato ideals: algorithm and examples. J. Symb. Comput. 45(1), 46--59 (2010)
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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) compactified Jacobians; Hilbert scheme of points; reduced curves with locally planar singularities; perverse filtration; decomposition theorem; support 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) decomposition of birational mappings; threefold; birational transformation of non-singular three-dimensional projective manifolds V. S. Kulikov, Decomposition of a birational map of three-dimensional varieties outside codimension \(2\) , Math. USSR Izv. 21 (1983), 187-200.
| 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 foliation; algebraically integrable foliation; characterization of projective space; Fujita decomposition; reflexive sheaf
| 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 fibration; cobordism; Lagrangian; submanifold; Fukaya category; cone decomposition; derived Fukaya category Biran, Paul; Cornea, Octav, Cone-decompositions of Lagrangian cobordisms in Lefschetz fibrations, Selecta Math. (N.S.), 23, 4, 2635-2704, (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) point location; solid modeling; geometric models; sorting; algebraic curve; decomposition; convex segments J.K. Johnstone, and C.L. Bajaj, Sorting points along an algebraic curve, SIAM J. Comput. 19 (1990) 925--967.
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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) artinian Gorenstein; local algebra; Gorenstein sequence; symmetric decomposition; deformation; normal form of dual generator
| 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 form; excellent ring; henselization; ring of analytic functions; semi-algebraic subset; semianalytic sets; constructible subsets of real spectra; real spaces; spaces of signs; spaces of orderings; fan Andradas, C.; Bröcker, L.; Ruiz, J.-M., \textit{Constructible Sets in Real Geometry}, 33, (1996), Springer-Verlag, Berlin
| 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 points; Tarski system; algebraic nonsingular points; definable set; o-minimal structure; analytic cell decomposition; semialgebraic points; degree of 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) polynomial inequality; real polynomial; resultant; subresultant; cylindrical algebraic decomposition; sums of squares
| 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 decomposition K. Ranestad and C. Voisin. \textit{Variety of power sums and divisors in the moduli space of cubic fourfolds}, arXiv:1309.1899v2.
| 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 adjacency; connected components; cylindrical algebraic decomposition; topology of semialgebraic sets
| 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 intersection; primary decomposition of 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) volume form; fan of toric variety; Fubini-Study metric; Newton polytope; integral representation
| 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) Jordan decomposition; Hochschild cohomology; separable orders; semisimple elements; local global principles; Noetherian integral domain Inder Bir S. Passi, Klaus W. Roggenkamp and Marcos Soriano, Integral Jordan decomposition of matrices. Linear Algebra Appl., 355(1--3) (2002), 241--261.
| 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 scheme of points; standard sets; Białynicki-Birula decomposition; stratification; torus action; representable functor; Gröbner basis
| 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; mixed volume; matroid fan; piece-wise polynomial; intersection theory; toric variety A. Esterov, ''Tropical varieties with polynomial weights and corner loci of piecewise polynomials,'' Mosc. Math. J., 12:1 (2012), 55--76; http://arxiv.org/abs/1012.5800 .
| 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 definiteness; positive definite extendibility; polar decomposition; characterizations of subnormality; complex moment problem on real algebraic curves; two-dimensional real moment problem; real algebraic sets J. Stochel and F. H. Szafraniec, \textit{The complex moment problem and subnormality: A polar decomposition approach}, J. Funct. Anal., 159 (1998), pp. 432--491.
| 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) surjective morphism of normal algebraic varieties; Cartier divisors; Zariski decomposition of the log-canonical divisor; log-canonical ring Yujiro Kawamata, The Zariski decomposition of log-canonical divisors, Algebraic geometry, Bowdoin, 1985 (Brunswick, Maine, 1985) Proc. Sympos. Pure Math., vol. 46, Amer. Math. Soc., Providence, RI, 1987, pp. 425 -- 433.
| 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) linearized linear bundle; projective variety; linear algebraic group; diagonal action; GIT-equivalence; Picard group; fan cones; GIT 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) Bruhat decomposition; flag manifold L. Seco, A note on the Bruhat decomposition of semisimple Lie groups. \textit{J. Lie Theory}\textbf{18}(2008), 725-731. MR2493064 (2010c:22018) Zbl 1228.22016
| 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 decomposition; \(q\)-Lévy-Meixner white noise
| 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) additive decomposition; additive decomposition of forms; Veronese variety; symmetric tensor rank
| 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; complete regular fan; bistellar flip; number of facets of a chamber; degenerations of monomial ideals; toric ideal; Gröbner basis
| 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 variety; identifiability; Chow decomposition; split 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) Decomposition; discriminant; cubic equation; principal axes; \(2^{\text{nd}}\) order surface; sum of squares; surface of rotation; determinant
| 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) border polynomial; fingerprint polynomial set; regular chain; regular semi-algebraic system; triangular decomposition Chen, C., Davenport, J.H., May, J., Moreno Maza, M., Xia, B., Xiao, R.: Triangular decomposition of semi-algebraic systems. In: Proceedings of ISSAC 2010, pp. 187--194. ACM, New York (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) determinantal ideals; primary decomposition; conditional independence 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) supersingular \(K3\) surface; automorphism group; Fermat quartic; double sextic; Borcherds' method; Conway theory; chamber decomposition Kondō, S.; Shimada, I., The automorphism group of a supersingular K3 surface with Artin invariant 1 in characteristic 3, Int. Math. Res. Not. IMRN., 2014, 1885-1924, (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) perverse cohomology sheaves; decomposition theorem for proper; Kähler morphisms; intersection cohomology; Kähler space; Hodge Modules; vanishing cycles; hard Lefschetz property
| 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; arithmetic geometry; cell decomposition; definable subassignments; \(p\)-adic integration 4 R. Cluckers and F. Loeser, 'Constructible motivic functions and motivic integration', \textit{Invent. Math.}173 (2008) 23-121.
| 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 integral homology; \(C^*\)-action Carrell, JB; Goresky, RM, A decomposition theorem for the integral homology of a variety, Invent. Math., 73, 367-381, (1983)
| 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) determinantal ideal; Gröbner basis; ideal of linear forms; Koszul algebra; linear resolution; polymatroidal ideal; primary decomposition; Rees algebra; regularity; toric deformation Bruns, Winfried; Conca, Aldo, Linear resolutions of powers and products. Singularities and computer algebra, 47-69, (2017), Springer, Cham
| 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) SYM \(N=4\); positive Grassmannians; Seodhar 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) decomposition of birational morphism; smooth curves on surfaces with rational double points; blow-up of a smooth point; Gorenstein threefold singularities D. Morrison: ''The birational geometry of surfaces with rational double points'', Math. Ann., Vol. 271, (1985), pp. 415--438.
| 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 tensors; tensor decomposition; Waring rank; tangential rank; cactus rank; algorithms
| 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) arc space; embedding codimension; ideal of finite definition; DGK decomposition; minimal formal model
| 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 isocrystals; coherence of arithmetic D-modules; p-adic differential equations; slope decomposition ABE T., Coherence of certain overconvergent isocrystals without Frobe- nius structures on curves, Math. Ann. 350, pp. 577-609 (2011).
| 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) Krull-Schmidt theorem; local Cohen-Macaulay rings; finite Cohen-Macaulay type; direct-sum decomposition Wiegand, R.: Singularities and direct-sum decompositions. Contemp. math. 266, 29-43 (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) algebraic stacks; intersection theory of moduli spaces of curves; KdV equation; tau-function; matrix integral; cellular decomposition of the moduli space; intersection numbers; trivalent graphs; stable ribbon graphs Terasoma, T.: Fundamental groups of moduli spaces of hyperplane configurations. http://gauss.ms.u-tokyo.ac.jp/paper/paper.html
| 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) Lubin-Tate spaces; Lefschetz trace formula; 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) computer algebra; algebraic curve parametrization; factorization; solution of polynomial equations; constructive algebraic geometry; gcd computation; decomposition; linear systems; Hankel systems; Gröbner bases; polynomial algorithms; elementary theory of real closed fields; Gosper's algorithm; summation problems; algebraic curve; complexity Winkler, F., \textit{Polynomial Algorithms in Computer Algebra}, (1996), Springer, Vienna, Austria
| 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) Białynicki-Birula decomposition; reductive monoids; reductive group actions In positive characteristic
| 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) multilinear algebra; tensor products; algebraic varieties; secant varieties; representation theory; complexity theory; matrices; monograph; textbook; matrix multiplication; tensor decomposition; tensor network; border rank; tensor calculus; projective algebraic geometry; Terracini's Lemma; polynomial Waring problem; Segre varieties; signal processing; Littlewood-Richardson rule; Pieri's formula; Strassen's equation; Young flattening; Friedland's equation; Fano varieties of line; Chow varieties of zero cycle; Brill's equation; normal form; Konstant's theorem; Bott-Borel-Weil theorem; Koszul sequences; syzygies J. M. Landsberg, \textit{Tensors: Geometry and Applications}, American Mathematical Society, Providence, RI, 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) multi-fan; multi-polytope; volume polynomial; Poincare duality algebra; Macaulay duality; Stanley-Reisner ring; Minkowski theorem; Minkowski relations; torus manifold
| 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) matroids; Chow rings; semi-small maps; decomposition theorem; Kähler package
| 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 polar curve; branched 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) flag varieties; quantum cohomology; total positivity; cell decomposition K. Rietsch, Totally positive Toeplitz matrices and quantum cohomology of partial flag varieties, J. Amer. Math. Soc. 16 (2003), no. 2, 363--392 (electronic).
| 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 manifold; Kähler manifold; projective manifold; Hodge structure; Hodge decomposition; Hodge class; Lefschetz decomposition; hard Lefschetz property; polarisation; Hodge-Riemann bilinear relations; complex torus; projective bundle; symplectic blow-up Voisin, C.: On the cohomology of algebraic varieties. In: Proceedings ICM (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) birational geometry; Zariski decomposition; elliptic fibration
| 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) 1-minimal model; fundamental group; lower central series; algebra of integrable logarithmic connections; Malcev completion; decomposition of the holonomy Lie algebra of the complement of an arrangement of hyperplanes Jambu, M.: Algèbre d'holonomie de Lie et certaines fibrations topologiques. CR acad. Sci. Paris série I math. 306, 479-482 (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) quadratic form; quadric; excellent quadric; Witt index; splitting pattern; Chow motive; Tate motive; motivic decomposition type Vishik, A., Excellent connections in the motives of quadrics, Ann. Sci. Éc. Norm. Supér., 44, 183-195, (2011)
| 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; projection operation; theorem of Abhyankar and Jung McCallum, S.; Hong, H., On using Lazard's projection in CAD construction, J. Symb. Comput., 72, 65-81, (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) o-minimality; almost o-minimal structure; \(\mathfrak{X}\)-structure; ordered group; semi-definable set ; 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) minimal model; weak Zariski decomposition; LC pairs Kollár, J.: Rational curves on algebraic varieties, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics], vol. 32. Springer, Berlin (1996). 10.1007/978-3-662-03276-3
| 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 log pairs; minimal model program; Mori chamber decomposition; simplicial toric Fano varieties; rigidity T. de Fernex and C. D. Hacon, ''Deformations of canonical pairs and Fano varieties,'' J. Reine Angew. Math., vol. 651, pp. 97-126, 2011.
| 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; multiplicative Chow-Künneth decomposition; Beauville's ``(weak) splitting property''; verra fourfolds; hyperkähler 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) stratification; filterable decomposition; Euler characteristics; equivariant cohomology; Betti numbers; quotient of a variety; motivic Euler characteristic; Hodge numbers Navarro Aznar, V.: Stratifications parfaites et théorie des poids. Publ. Mat. 36 (1992), no. 2B, 807--825 (1993)
| 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) Hodge theory; log geometry; Néron model; intermediate Jacobian; weak fan Kazuya Kato, Chikara Nakayama, and Sampei Usui, Néron models in log mixed Hodge theory by weak fans, Proc. Japan Acad. Ser. A Math. Sci. 86 (2010), no. 8, 143 -- 148.
| 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-Künneth decomposition; Kimura finite-dimensionality; motives André, Y.: Motifs de dimension finie (d'après S.-I. Kimura, P. O'Sullivan,...), Séminaire Bourbaki 2003/2004, Astérisque 299 Exp. No. 929, viii, 115-145,
| 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) weighted projective lines; coherent sheaves; quivers; representation; canonical 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) nodal hypersurfaces; quadratic singularities; rigid isotopy; diffeomorphism type; signature; discriminant group; Milnor lattice; connected-sum 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) decomposition theorem; perverse sheaves; intersection cohomology M. A. A. de Cataldo and L. Migliorini, The decomposition theorem, perverse sheaves and the topology of algebraic maps, \textit{Bull. Amer. Math. Soc. (N.S.)}, 46 (2009), no. 4, 535--633. Zbl 1181.14001 MR 2525735
| 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; wonderful compactification; generalized Bruhat decomposition Renner, L.E.: An explicit cell decomposition of the canonical compactification of an algebraic group. Can. Math. Bull. 46, 140--148 (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) differential algebra; decomposition of differential polynomials; apolars; invariant theory; theta functions; statistical partition function Morikawa, H, On differential polynomials II, Nagoya Math. J, 148, 73-112, (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) computational geometry; axiomatic geometry; algebraization; coordinate systems; mechanization; geometry theorem proving; polynomial equality relations; constructive algebraic geometry; algebraic varieties; irreducible decomposition; symbolic computation Wu, Wen-Tsün, Mechanical theorem proving in geometries, (1994), Springer-Verlag
| 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) adelic Arakelov geometry; green functions; Berkovich space; Hodge index theorem; Zariski decomposition; Fujita's approximation; numerical criterion of neffness A. Moriwaki, Adelic divisors on arithmetic varieties, Mem. Amer. Math. Soc. 242, no. 1144, American Mathematical Society, Providence, R.I., 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) complex abstract Wiener space; strictly positive selfadjoint operator; exterior product bundle; \(L^ 2\)-sections; \(\overline{\partial}\)- cohomology group; space of harmonic \((p,q)\)-forms; de Rham-Hodge- Kodaira's decomposition T. Nishimura, ''Exterior product bundle over complex abstract Wiener space,''Osaka J. Math.,29, No. 2, 233--245 (1992).
| 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, Lefschetz decomposition, Hodge-Riemann 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) spin group; spinor decomposition; affine transformation; line geometry; affine line reflection
| 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) non-negative univariate polynomials; Nichtnegativstellensätze; sum of squares decomposition; root isolation; real algebraic geometry
| 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-algebraic sets in the plane; semi-algebraic planar set; finite cellular decomposition of the plane Alonso, M.E.; Raimondo, M., The computation of the topology of a planar semi-algebraic set, (1989), Rend. Sem. Mat. Univ. Politecnico Torino
| 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) ind-variety; ind-group; generalized flag; Schubert decomposition; real form
| 0 |
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