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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) Bruhat decomposition; Schubert variety; stabilizer group
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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) transcendental algebraic geometry; Kählerian geometry; Hodge theory; Lefschetz decomposition; variations of Hodge structures; period domain; algebraic cyles; Abel-Jacobi map C. Voisin, Hodge Theory and Complex Algebraic Geometry. II. Translated from the French by Leila Schneps, Cambridge Stud. Adv. Math., \textbf{77}, Cambridge Univ. Press, Cambridge, 2007.
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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) tensor; tight frame; Waring decomposition Oeding, Luke; Robeva, Elina; Sturmfels, Bernd, Decomposing tensors into frames, Adv. in Appl. Math., 0196-8858, 73, 125-153, (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) double ratio; Doppelverhältnis (Dv.); substitution groups; decomposition of quartic into factors; transformations for the general case; harmonic case
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) triangular decomposition; chordal graph; incremental algorithm; regular chain
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) holomorphic symplectic structure; singularities of moduli spaces; Bogomolov decomposition; twistor space of hyperkähler manifold; Hilbert scheme; irreducible hyperkähler manifold; O'Grady example; nilpotent orbit; formality Kaledin, D.; Lehn, M., Local structure of hyperkähler singularities in O'Grady's examples, Mosc. Math. J., 7, 4, 653-672, (2007), 766-767
0
fan 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 set; component of solutions; diagonal homotopy; embedding; equation-by-equation solver; generic point; homotopy continuation; irreducible component; numerical irreducible decomposition; numerical algebraic geometry; path following; polynomial system; witness point; positive dimensional solution; product decomposition; incremental regeneration; polyhedral homotopy; diagonal homotopy J. D. Hauenstein, A. J. Sommese, and C. W. Wampler, \textit{Regeneration homotopies for solving systems of polynomials}, Math. Comp., 80 (2011), pp. 345--377.
0
fan 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; Macaulay dual space; primary decomposition Krone, Robert; Leykin, Anton: Embedded component tests for macaulay2. (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) polyhedral product; fan; toric variety; moment-angle complex; primitive generator; algebraic map; Vassiliev spectral sequence
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Fukaya category; Liouville domain; Floer cochain complexes; positive-time Reeb chords; open book 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) semigroup; semiring; lacking zero sums; direct sum decomposition; free (semi)module; summand absorbing submodule; halo; additive spine; matrices; tropical space
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) stacky fan; toric Deligne-Mumford stack; inertia group; weighted projective spaces R. Goldin, M. Harada, D. Johannsen and D. Krepski: Inertia groups of a toric DM stack, fake weighted projective spaces, and labelled sheared simplices , to appear in Rocky Mountain J. Math., arXiv:
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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) join set; join decomposition problem; condition number; tensor rank decomposition; CP decomposition; Waring decomposition; block term decomposition P. Breiding and N. Vannieuwenhoven, \textit{The condition number of join decompositions}, SIAM J. Matrix Anal. Appl., 39 (2018), pp. 287--309, .
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) inertia and decomposition groups; commuting-liftable pairs; \(C\)-pairs; pro-\(l\) abelian-by-central Galois group; rigid elements of a field; Milnor \(K\)-theory; valuations; commuting-liftable subgroups of Galois groups
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Hitchin fibration; perverse sheaves; decomposition theorem; relative cohomology
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) toric variety; Weil divisor; Cartier divisor; convexity; Picard number; polytope; polyhedron; sheaf cohomology; Hizrebruch-Jung continued fraction; Gröbner fan; McKay correspondence; Rees algebra; multiplier ideal; Hirzebruch-Riemann-Roch theorem; Chow ring; intersection cohomology; invariant theory; GKZ cone; secondary fan; spectral sequence D. A. Cox, J. B. Little, and H. K. Schenck, \textit{Toric varieties}, Graduate Studies in Mathematics, 124, American Mathematical Society, Providence, RI, 2011.Zbl 1223.14001 MR 2810322
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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 bases; decomposition; Hörmander's Phragmén-Lindelöf condition Rüdiger W. Braun, Reinhold Meise, and B. A. Taylor, Surjectivity of constant coefficient partial differential operators on \?(\Bbb R\(^{4}\)) and Whitney's \Bbb C\(_{4}\)-cone, Bull. Soc. Roy. Sci. Liège 70 (2001), no. 4-6, 195 -- 206 (2002). Hommage à Pascal Laubin.
0
fan 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; effective boundary; regular semi-algebraic system; relaxation; triangular decomposition Chen, C., Davenport, J.H., Moreno Maza, M., Xia, B., Xiao, R.: Computing with semi-algebraic sets represented by triangular decomposition. In: Proceedings of ISSAC 2011, pp. 75--82. ACM, New York (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) twisted motivic Chern class; stable envelope; Białynicki-Birula decomposition; torus localization
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) asymptotic volume of a line bundle; Neron-Severi group; Zariski decomposition of a divisor; big divisor T. Bauer, A. K''uronya, and T. Szemberg, Zariski chambers, volumes and stable base loci, J. Reine Angew. Math. 576 (2004), 209--233.
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) base change; semiorthogonal decomposition; perfect complexes; admissible subcategory; derived categories Kuznetsov, A., \textit{base change for semiorthogonal decompositions}, Compos. Math., 147, 852-876, (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) quantum cohomology; D-module; weighted projective space; Birkhoff decomposition Guest, M.A., Sakai, H.: Orbifold quantum D-modules associated to weighted projective spaces (2008). arXiv:0810.4236v1
0
fan 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 property for groups; compact Kähler varieties; automorphism group; meromorphic groups; meromorphic actions; Rosenlicht 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) torus action; complex manifold; toric manifold; quasitoric manifold; unimodular fan H. Ishida, ''Complex manifolds with maximal torus actions,'' arXiv: 1302.0633 [math.CV].
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) semialgebraic set with respect to a valuation; path component; real closed field; curve selection; definable function; polynomial function; algebraic sets; semialgebraic sets; cell decomposition; definable sets; valued fields; ordered fields; Tarski principle; dimension
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) decorated Teichmüller space; ideal cell decomposition Penner, R. C., The decorated Teichmüller space of punctured surfaces, Comm. Math. Phys., 113, 2, 299-339, (1987)
0
fan 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 invariants; Poincaré series; Hironaka decomposition; minimal set of generators {\Dsstroke}oković, DŽ, On orthogonal and special orthogonal invariants of a single matrix of small order, Linear Multilinear Algebra, 57, 4, 345-354, (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) multi-fan; torus manifold; multi-polytope; equivariant index; torus orbifold A. Hattori, M. Masuda, Theory of multi-fans. \textit{Osaka J. Math}. \textbf{40} (2003), 1-68. MR1955796 Zbl 1034.57031
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) locally finite Hopf algebra actions; left modules; convolution products; Jordan-Chevalley decomposition; locally-finite representations; \(H\)-module algebras Tyc, A.: Jordan -- Chevalley decomposition and invariants for locally finite actions of commutative Hopf algebras, J. algebra 182, 123-139 (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) conic bundles; rational threefolds; derived categories; semiorthogonal decomposition; intermediate Jacobian Bernardara, M.; Bolognesi, M.: Derived categories and rationality of conic bundles. Compos. math. 149, No. 11, 1789-1817 (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) computational geometry; decision procedure; real algebraic geometry; cylindrical algebraic decomposition of the Euclidean r-space; cad; zeros of the polynomials; algorithm; pairs of adjacent cells Arnon, D. S.; Collins, G. E.; McCallum, S., Cylindrical algebraic decomposition II: An adjacency algorithm for the plane, SIAM J. Comput., \textbf{13}, 878-889, (1984)
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) pairity sheaves; pervers sheaves; decomposition theorem; flag varieties D. Juteau, C. Mautner and G. Williamson, Parity sheaves. \textit{J. Amer. Math. Soc. }27 (2014), no. 4, 1169--1212.MR 3230821 Zbl 06591557
0
fan 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 motive; Shimura variety; Chow-Künneth decomposition; Murre's conjecture
0
fan 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; Waring rank; projective hypersurface; isolated singularity; hyperplane arrangement
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) semi-orthogonal decomposition; derived category of coherent sheaves; cyclic covering Kuznetsov, A.; Perry, A., \textit{derived categories of cyclic covers and their branch divisors}, Selecta Math. (N.S.), 23, 389-423, (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) algorithm; numerical irreducible decomposition; foldable Griffis-Duffy platforms; Stewart-Gough platform robots Y. Lu, D. J. Bates, A. J. Sommese and C. W. Wampler, Finding all real points of a complex curve, in Proceedings of the Midwest Algebra, Geometry and Its Interactions Conference, Contemporary Mathematics, Vol. 448 (AMS, 2007), pp. 183-205.
0
fan 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 projector; modular variety; motivic decomposition B. B. Gordon, M. Hanamura, and J. P. Murre, Relative Chow-Künneth projectors for modular varieties, J. Reine Angew. Math. 558 (2003), 1--14.
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) coordinate subspace; polyhedral product; fan; toric variety; primitive generator; holomorphic map; homotopy equivalence; simplicial resolution; Vassiliev spectral sequence Kozlowski, A.; Yamaguchi, K., The homotopy type of spaces of coprime polynomials revisited, Topol. Appl., 206, 284-304, (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) Nef cone; pseudo-effective cone; projective bundle; semistability; weak 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) Monge-Ampère equation; analytic Zariski decomposition of a line bundle Hajime Tsuji, Degenerate Monge-Ampère equation in algebraic geometry, Proceedings of the miniconference on analysis and applications (Brisbane, 1993), Proceedings of the Centre for Mathematics and its Applications 33, Australian National University, 1994, p. 209-224
0
fan 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 semi-algebraic sets; isotypic decomposition; Specht module; Betti numbers; mirrored spaces; 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) Mori dream space; Lefschetz theorem; nef cone; Mori chamber; \(m\)-neighborly fan; Cox ring; GIT quotient Jow, S-Y, A Lefschetz hyperplane theorem for Mori dream spaces, Math. Z., 268, 197-209, (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) uniform rank-r vector bundle; decomposition into direct sum of line bundles; Harder-Narasimhan filtration Ballico, E., Uniform vector bundles of rank \((n+ 1)\) on \({\mathbb{P}}^n\), Tsukuba J. Math., 7, 215-226, (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) anabelian geometry; absolute Galois groups; metabelian Galois groups; \(p\)-adically closed fields; rational points; valuations; Hilbert decomposition theory; (birational) section conjecture
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) topological quantum numbers; spectral decomposition; Bloch-Floquet transform; Hilbert bundle
0
fan 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 semisimple Lie group; torus orbit; toric variety; rational polyhedral fan; embedding Flaschka, H.; Haine, L., Torus orbits in \textit{G}/\textit{P}, Pac. J. Math., 149, 251-292, (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) moduli spaces; linear dynamical systems; cell decomposition; flag manifold; controllability test for singular systems; Yang-Mills theory U. Helmke, The cohomology of moduli spaces of linear dynamical systems, Regensburger Mathematische Schriften [Regensburg Mathematical Publications], Universität Regensburg Fachbereich Mathematik, Regensburg, vol. 24, 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) determinantal ideals; reduced Gröbner basis; normal form algorithm; Stanley decomposition for the coordinate ring Sturmfels, B., Gröbner bases and Stanley decompositions of determinantal rings, Math. Z., 205, 137-144, (1990)
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) orbifold; additive invariant; linear dg category; \(K\)-theory; cyclic homology; topological Hochschild homology; Azumaya algebra; noncommutative algebraic geometry; enriched categories; perfect sheaves; monoid; orthogonal 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) algebraic cycles; Chow group; motive; Bloch-Beilinson filtration; Beauville's ``splitting property'' conjecture; multiplicative Chow-Künneth decomposition; Fano varieties; 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) Hochschild cohomology; Noetherian scheme; analytic space; admissible pair of categories; cotangent complex; HKR theorem; Hodge decomposition Schuhmacher, F.: Hochschild cohomology of complex spaces and noetherian schemes. Homology homotopy appl. 6, No. 1, 299-340 (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) cylindrical algebraic decomposition; inequalities; Sage 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) prime factor decomposition problem; elliptic curve; cryptography; algorithms; point counting theorems; pseudo-prime test H. W. Lenstra Jr., ''Elliptic curves and number-theoretic algorithms,'' in Proceedings of the International Congress of Mathematicians, Vol. 1, 2, Providence, RI, 1987, pp. 99-120.
0
fan 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; eigenvector; generalized eigenvector; Jordan canonical form; ideal; primary decomposition; binomial ideal; Hilbert polynomial; tangent bundle; scheme; curvilinear Abo, H; Eklund, D; Kahle, T; Peterson, C, Eigenschemes and the Jordan canonical form, Linear Algebra Appl., 496, 121-151, (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) cylindrical algebraic decomposition; variable ordering; chordality; 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) intersection homology; intersection spaces; spatial homology truncation; string theory; Eckmann-Hilton duality; Moore space decomposition; Calabi-Yau manifolds; conifold; Poincaré duality; rational Poincaré complexes; mirror pair of homology theories; massless \(D\)-branes Banagl, Markus, Intersection spaces, spatial homology truncation, and string theory, Lecture Notes in Mathematics 1997, xvi+217 pp., (2010), 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) motives; algebraic cycles; Lagrangian subvariety; Chow groups; Bloch-Beilinson filtration; HyperKähler variety; spread of algebraic cycles; Fano variety of lines on cubic fourfold; \(K3\) surface; multiplicative Chow-Kunneth decomposition; Beauville's 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) fan; Picard group of a fan; graded ring; graded module; graded local cohomology; Cox ring; Cox scheme; toric scheme; quasicoherent sheaf; toric Serre-Grothendieck correspondence F. Rohrer, \textit{On quasicoherent sheaves on toric schemes}, arXiv:1212.3956.
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Landau-Ginzburg; Calabi-Yau; Fan-Jarvis-Ruan-Witten theory; quintic threefold; W-curves A. Chiodo and Y. Ruan, Landau-Ginzburg/Calabi-Yau correspondence for quintic three-folds via symplectic transformations, Invent. Math. 182 (2010), no. 1, 117-165.
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) powers of ideals; Rees ring; associated graded ring; primary decomposition; Cohen-Macaulay ring; determinantal ideals Bruns, W., Algebras defined by powers of determinantal ideals, J. Algebra, 142, 150-163, (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) convex polytopes; intersection cohomology; toric varieties; fan; Stanley's conjecture P. Bressler and V. Lunts, Intersection cohomology on nonrational polytopes. \textit{Compo-} \textit{sitio Math. }135 (2003), 245--278.
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Kostant-Toda lattice; Toda lattice; Gauss decomposition; Bruhat decomposition Ikeda, K.: The Toda flows preserving small cells of the flag variety G/B and Kazhdan's x0-grading, J. geom. Phys. 57, 799-813 (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) number of connected components; first Betti number; real algebraic surface; Hodge decomposition [Si2] Silhol, R.: Bounds for the number of connected components connected components and the first Betti number mod two of a real algebraic surface. Compos. Math.60, 53-63 (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) pseudoeffective cone; divisorial Zariski decomposition; (1,1) classes; orthogonality conjecture
0
fan 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 group actions; monoids; formal methods
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) algebraic cycles; Chow groups; motives; hyperkähler varieties; generalized Kummer varieties; abelian varieties; hard Lefschetz; Bloch-Beilinson conjectures; splitting property; multiplicative Chow-Künneth decomposition; algebraic equivalence; smash-nilpotence Laterveer, R, Hard Lefschetz for Chow groups of generalized Kummer varieties, Abh. Math. Semin. Univ. Hambg., 87, 135-144, (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) equivariant embedding; Grosshans subgroup; total coordinate ring; GIT quotient; GIT fan Arzhantsev, I.; Hausen, J., On embeddings of homogeneous spaces with small boundary, \textit{J. Algebra}, 304, 2, 950-988, (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) Gelfand-Graev; Deligne-Lusztig; Deodhar decomposition Dudas, O., Deligne-Lusztig restriction of a Gelfand-graev module, Ann. Sci. École Norm. Sup. (4), 42, 4, 653-674, (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) orbit structures; orbital decomposition; localization of prehomogeneous vector spaces Yano, T., On the complete localization of prehomogeneous vector spaces, Saitama Math. J., 5 (1987), 27-33.
0
fan 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 system; vanishing cycles; Alexander modules; holonomic \({\mathcal D}\)-modules; fan; Newton polyhedron C Sabbah, Modules d'Alexander et \(\mathscr D\)-modules, Duke Math. J. 60 (1990) 729
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) vertex decomposition; liaison; Gröbner bases
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) piecewise polynomial; parametric piecewise polynomial system; parametric semi-algebraic systems; discriminant variety; number of real zeros; cylindrical algebraic decomposition method; algorithm Lai Y S, Wang R H, Wu J M. Solving parametric piecewise polynomial systems. J Comput Appl Math, 2011, 236: 924--936
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) B-B-decomposition; algebraic action
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) conjugacy classes; representation theory of finite groups of Lie type; connected reductive algebraic group; Frobenius morphism; finite group of F-fixed points; BN-pair; Weyl group; Borel subgroup; maximal torus; intersections of parabolic subgroups; virtual representation; generalized character; \(\ell \)-adic cohomology; flag variety; geometric conjugacy; Jordan decomposition; unipotent elements; Deligne-Lusztig characters; irreducible characters; regular characters; Gelfand-Graev representation; cuspidal characters; unipotent characters; intersection cohomology; Springer correspondence; representations of Coxeter groups; Dynkin diagrams; bibliography; exceptional groups; character tables R.\ W. Carter, Finite Groups of Lie Type: Conjugacy Classes and Complex Characters, John Wiley, New York, 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) vanishing of first cohomology group; line bundle; Gauss-Wahl map; deformation; flag varieties; homogeneous space; decomposition of tensor product of representations S. Kumar, Proof of Wahl's conjecture on surjectivity of the Gaussian map for flag varieties, Amer. J. Math. 114 (1992), no. 6, 1201220.
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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) quantifier elimination; cylindrical algebraic decomposition; elementary algebra; geometry Arnon, D., Mignotte, M.: On mechanical quantifier elimination for elementary algebra and geometry. J. Symb. Comput. 5, 237--259 (1988)
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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) polarized complex tori; group of automorphisms; polarized abelian varieties; decomposition theorem; isogeny
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) intersection cohomology; intersection Euler-Poincaré characteristic; BBDG decomposition theorem Cappell, SE; Maxim, L; Shaneson, JL, Intersection cohomology invariants of complex algebraic varieties. singularities I, Contemp. Math., 474, 15-24, (2008)
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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) Shimura varities; Bruhat decomposition; \(F\)-zips; Newton stratification Wedhorn, Torsten, Bruhat strata for Shimura varieties of PEL type, Math. Z., 277, 3-4, 725-738, (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) mixed Hodge theory; Hodge decomposition; filtrations; cycle functors Morihiko Saito, On the theory of mixed Hodge modules, Selected papers on number theory, algebraic geometry, and differential geometry, Amer. Math. Soc. Transl. Ser. 2, vol. 160, Amer. Math. Soc., Providence, RI, 1994, Translated from Sūgaku, Translation edited by Katsumi Nomizu, pp. 47-61.
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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) holomorphic symplectic structure; moduli space; Mukai vector; Bogomolov decomposition; Donaldson morphism; Kummer variety; stable sheaf; irreducible symplectic variety; Kähler manifold; Beauville form; Fujiki constant; Fujiki's formula; symplectic desingularisation; K3 surface Rapagnetta, A., \textit{on the Beauville form of known irreducible symplectic varieties}, Math. Ann., 340, 77-95, (2008)
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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 ring; binary decomposition; generic form
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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) space of \(n\)-forms; configuration; projective line; semistable; singularities; Kähler metric; cohomology; Hodge-like decomposition; Betti numbers Klyachko, A. A., Spatial polygons and stable configurations of points in the projective line, \textit{Algebraic Geometry and Its Applications (Yaroslaevl' 1992), Vieweg}, 67-84, (1994)
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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) Chow motive; Chow group; 3-folds; Chow-Künneth decomposition Pedro Luis del Angel and Stefan Müller-Stach, On Chow motives of 3-folds, Trans. Amer. Math. Soc. 352 (2000), no. 4, 1623 -- 1633.
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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) tropical geometry; intersection theory; linear space; fan; matroid Allermann, L.: Tropical intersection products on smooth varieties. J. Eur. Math. Soc. 14(1), 107--126 (2012). arxiv:0904.2693v2
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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) Okounkov body; pseudoeffective divisor; asymptotic invariant; Zariski 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) cluster algebras; Gröbner basis; Gröbner fan; Grassmannians; flat degenerations; Newton-Okounkov bodies
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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) Dolgachev surface; handlebody decomposition; Harer-Kas-Kirby conjecture Akbulut, The Dolgachev surface. Disproving the Harer-Kas-Kirby conjecture, Comment. Math. Helv. 87 pp 187-- (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) cyclic homology; Hodge theory; Hodge filtration; Hodge decomposition; \(\lambda\)-decomposition; crystalline cohomology; periodic homology Weibel, C., \textit{the Hodge filtration and cyclic homology}, J. K-Theory, 12, 145-164, (1997)
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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) smooth connected sum decomposition of a complex algebraic surface; algebraically simply connected; profinite completion of the topological fundamental group
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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) Tate conjecture; Hodge conjecture; Beilinson-Bloch-Deligne conjectures; special values of L-functions; Shimura varieties; Baily-Borel-Satake compactification; motivic decomposition; intersection cohomology; non-CM abelian varieties; evaluation of height pairings
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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) minimal varieties; trivial canonical classes; decomposition of compact Kähler manifolds Peternell, T.: Minimal varieties with trivial canonical classes. I, Math. Z217, 311--322 (1994)
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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) canonical polyadic decomposition; numerical instability
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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) finite generation; Zariski decomposition doi:10.1017/S0305004113000509
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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) canonical dimension; incompressibility; orthogonal Grassmannians; motivic decomposition Mathews, B, Incompressibility of orthogonal Grassmannians of rank 2, J. Algebra, 349, 353-363, (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) Rees valuations; blow-up; intersection of valuation ideals; integrally closed ideals; Rees 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) toric varieties; K-theory; sheaves on fan spaces Baggio, Silvano: Equivariant K-theory of smooth toric varieties, Tohoku math. J. (2) 59, No. 2, 203-231 (2007)
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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) tropical linear space; functions convex on a fan; matroid; nef cone
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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) semi-stable \(p\)-adic periods; complete discrete valuation ring; Frobenius; logarithmic crystalline cohomology; Hodge-Tate decomposition Kato, K., Semistable reduction and \(p\)-adic étale cohomology. Périodes p-adiques, Séminaire de Bures, 1988, Astérisque 223, 269-293, (1994)
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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) Chow group of zero-cycles; decomposition of the diagonal; cubic hypersurfaces
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