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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) standard conjectures; Lefschetz theorem; Hodge index theorem; cellular decomposition; toric variety; flag variety K. Künnemann and V. Maillot, ``Théorèmes de Lefschetz et de Hodge arithmétiques pour les variétés admettant une décomposition cellulaire'' in Regulators in Analysis, Geometry and Number Theory , Progr. Math. 171 , Birkhäuser, Boston, 2000, 197--205.
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) moduli of curves; ribbon graphs; cellular decomposition Kochetkov, Y, Moduli spaces \(M\)\_{}\{2\(,\)1\} and \(M\)\_{}\{3\(,\)1\}, Funct. Anal. Appl., 44, 118-124, (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) discriminant; Newton polytope; tropical variety; 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) algebraic cycles; motives; Chow-Künneth decomposition; motivic finite-dimensionality; algebraic surfaces; balanced varieties Guletskiĭ, V.; Pedrini, C., Finite-dimensional motives and the conjectures of Beilinson and Murre, \(K\)-Theory, 30, 3, 243-263, (2003)
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) decomposition of uniform fiber bundles over Grassmannian; cohomology ring of flag variety; Chow ring Guyot M.: Caractérisation par l'uniformité des fibrés universels sur la Grassmannienne. Math. Ann. 270, 47--62 (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) Grassmann manifold; torus action; chamber decomposition of hypersimplex; orbit space; universal parameter 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) o-minimal structure; Lipschitz cell decomposition Pawłucki, W., Lipschitz cell decomposition in o-minimal structures. I, Illinois J. Math., 52, 1045-1063, (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) real decomposition; real algebraic set; numerical algebraic geometry; isosingular deflation; homotopy continuation
| 0 |
fan 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 cycle classes; tropical Dolbeault cohomology; weight 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) Fan-Jarvis-Ruan; Landau-Ginzburg model; Gromov-Witten invariants; mirror symmetry; matrix factorizations; Hochschild homology Polishchuk, Alexander and Vaintrob, Arkady, Matrix factorizations and cohomological field theories, Journal für die Reine und Angewandte Mathematik. [Crelle's Journal], 714, 1-122, (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) comparison of methods; homotopy perturbation method; multi-dimensional nonlinear coupled system of parabolic and hyperbolic equations; numerical results; Adomian decomposition 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) \(\mathbb{Q}\)-factorial complete toric variety; projective toric bundle; secondary fan; Gale duality; fan and weight matrices; toric cover; splitting fan; primitive collection and relation
| 0 |
fan 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 variety; ample divisor; nef divisor; \(\mathbb {Z}\)-liner Gale duality; secondary fan; ampleness criterion; Cartier index; \(\mathbb {Q}\)-Fano toric variety Rossi, M.; Terracini, L., A numerical ampleness criterion via gale duality, Appl. Algebra Eng. Commun. Comput., (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) regional manipulators; kinematical analysis; algebraic geometry; Gröbner bases; ideal 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) Hodge theory; period map; nilpotent orbit; complete fan; toroidal compactification; Kato-Usui theory
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) cyclic quotient singularities; Gröbner fan; MacKay correspondence Ito, Y.: Minimal resolution via Gröbner basis. Algebraic geometry in east Asia (Kyoto, 2001), 165-174 (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) Segre varieties; tensor rank; tensor decomposition
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Gröbner basis; resultants; polytopes; integer programming; coding theory; free resolution; Gröbner fan; Gröbner walk; Maple code Cox D A, Little J, and O'Shea D, \textit{Using Algebraic Geometry}, 2nd Edition, Springer-Verlag, Berlin Heidelberg, 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) Waring decomposition; unidentifiable case; elliptic curve; catalecticant map
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) cylindrical algebraic decomposition; real algebraic geometry; equational constraints; symbolic computation; computer algebra; complexity analysis; Maple Wilson, D., Bradford, R., Davenport, J.H., England, M.: Cylindrical algebraic sub-decompositions. Math. Comput. Sci. 8, 263--288 (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) primary decomposition; algorithm; factorization
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) \(X\)-rank; Veronese embedding; symmetric tensor rank; additive decomposition; real \(X\)-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) rational map; Gröbner basis; decomposition of maps; rational variety; function field Müller-Quade, J.; Steinwandt, R.; Beth, T.: An application of Gröbner bases to the decomposition of rational mappings. Gröbner bases and applications, 448-462 (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) Thom's lemma; coding of real algebraic numbers; cylindric algebraic decomposition of a semialgebraic set 8. M. COSTE et M.-F. ROY, Thom's Lemma, the Coding of Real Algebraic Numbers and the Computation of the Topology of Semi-AIgebraic Sets, J. Symbolic Computations, 1988, 5, p. 121-129. Zbl0689.14006 MR949115
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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 theorem; local purity
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) morphisms of abelian varieties; Poincaré decomposition; moduli spaces Guerra, L, Siegel coordinates and moduli spaces for morphisms of abelian varieties, Annali di Matematica Pura ed Applicata, 185, 319-335, (2006)
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) bilinear form; rational Jordan decomposition; nilpotent orbit; semi-simple orbit; congruence class \&dstrok, D. Ž.; Oković; Zhao, K.: Rational Jordan decomposition of bilinear forms, Commun. contemp. Math. 7, No. 6, 769-786 (2005)
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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) locally planar curves; Hilbert scheme; compactified Jacobian; versal deformation; perverse cohomology; decomposition theorem L. Migliorini and V. Shende, \textit{A support theorem for Hilbert schemes of planar curves}, J. Eur. Math. Soc. 15, 2353-2367.
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) range searching; ham-sandwich cuts; polynomial partitions; cylindrical algebraic decomposition Agarwal, P.K., Matoušek, J., Sharir, M.: On range searching with semialgebraic sets. II. SIAM J. Comput. \textbf{42}(6), 2039-2062 (2013). arXiv:1208.3384
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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 quiver; dimension vector; affine variety; linear reductive group; category of representations; Jordan decomposition; semisimple representations L. Le Bruyn and C. Procesi, Semisimple representations of quivers , Trans. Amer. Math. Soc. 317 (1990), no. 2, 585-598. JSTOR:
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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) anti-Kodaira dimension; rational surface; isolated rational singularities; ample Cartier divisor; minimal resolution; Zariski decomposition of divisors; pseudo effective divisor; dimension formula; anti-genus Sakai, F. Anticanonical models of rational surfaces,Math. Ann. 269(3), 389--410, (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) intersection cohomology; motivic sheaves; motivic decomposition; Chow 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) equivariant cohomology; toric manifold; quasitoric manifold; small cover; fan Masuda, M., \textit{Equivariant cohomology distinguishes toric manifolds}, Adv. Math. 218 (2008), no. 6, 2005--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) Artin-Schreier extension; compositum; decomposition law; different; ramification group Wu, Q.; Scheidler, R., The ramification groups and different of a compositum of Artin-Schreier extensions, Int. J. Number Theory, 6, 1541-1564, (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) cylindrical algebraic decomposition; polynomial map; semialgebraic set
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Hopf-algebra; comodule; antipodes; regular action; subcomodule subalgebras; coradicals; smash product; hyperalgebra; universal Chevalley group; infinitesimal subgroup; decomposition theorem Koppinen, M.: Decomposing and lifting hyperalgebras. (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) binomial ideals; binomial edge ideals; graphs; decomposition; conditional independence ideals Rauh, J., Generalized binomial edge ideals, \textit{Adv. Appl. Math.}, 3, 50, 409-414, (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) connected, simply connected nilpotent Lie group; irreducible unitary representation; direct integral decomposition; induced representation; irreducible representations; multiplicity function; coadjoint orbits; complex nilpotent Lie groups Corwin, L. and Greenleaf, F. Complex algebraic geometry and calculations of multiplicities for induced representations of nilpotent Lie groups,Trans. Am. Math. Soc.,305, 601--622, (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) algebraic simplification; quantifier elimination; cylindrical algebraic decomposition Brown, C.W.: QEPCAD B--a program for computing with semi-algebraic sets using CADs. ACM SIGSAM Bulletin 37(4), 97--108 (2003). http://www.cs.usna.edu/\(\sim\)qepcad/B/QEPCAD.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) Cartier divisor; Zariski decomposition H. Tsuji: Analytic Zariski decomposition , Proc. Japan Acad. Ser. A Math. Sci. 68 (1992), 161\nobreakdash--163.
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) linear algebraic groups; representations of affine algebraic groups; Jordan-Chevalley decomposition; conjugacy theorems; Borel subgroups; maximal tori; reductive groups; Lie algebras; Weyl group; root system
| 0 |
fan 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 dimensional motive; Chow motive; Picard motive; 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) triangulated category; model;enhancement; DG-algebra; Hochshild cochain complex; Hochschild-Kostant-Rosenberg theorem; \(A_\infty\)-deformation; \(A_\infty\)-category; \(A_n\)-category; DG category; pre-triangulated DG-category; pre-triangulated \(A_\infty\)-category; canonically triangulated; pre-triangulated; glueing \(A_n\)-categories; \(\mathcal B\)-\(\mathcal A\)-bimodule; semi-orthogonal decomposition; Toda brackets; truncated twisted complexes
| 0 |
fan 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; surface of general type; \(K3\) surface; Beauville's ``splitting property'' conjecture; 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) flag variety; Grassmannian variety; Schubert variety; symmetric group; algebraic group; Lie algebra; Schur-Weyl duality; singular locus; Chevalley group; standard monomial theory; general linear group; special linear group; Borel subgroup; parabolic subgroup; determinantal variety; commutative algebra; algebraic geometry; character; semisimple ring; finite group; toric variety; invariant theory; tableaux; irreducible module; Bruhat decomposition; sheaf 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) space of sums of powers; Waring decomposition; real rank; variety of sums of powers Michałek, Mateusz; Moon, Hyunsuk, Spaces of sums of powers and real rank boundaries, (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) spherical pair; Cartan decomposition; Cayley algebra; exceptional Lie 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) projective variety; smooth fibration; resolution of singularities; derived category; intersection cohomology; decomposition theorem; Poincaré polynomial; Betti numbers; Schubert 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) Hodge type decomposition; spinor valued exterior forms Slupinski, M.: A Hodge type decomposition for spinor valued forms. Ann. sci. École norm. Sup. (4) 29, 23-48 (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) Mori fibre space; decomposition of a birational map; Sarkisov program; log birational category Bruno A., Matsuki K.: Log Sarkisov program. Int. J. Math. 8(4), 451--494 (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) corrected version; Weil decomposition theorem; heights; Hilbert irreducibility theorem; G-functions; arithmetic on algebraic varieties P. Debes , Quelques remarques sur un article de Bombieri concernant le Théorème de Décomposition de Weil , Amer. J. Math. 107 ( 1985 ), 39 - 44 . MR 778088 | Zbl 0563.12010
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) pseudo-effective cycles; movable cycles; Zariski decomposition M. Fulger, B. Lehmann, Morphisms and faces of pseudo-effective cones. \textit{Proc. Lond. Math. Soc}.\textbf{} (3) \textbf{112} (2016), 651-676. MR3483128 Zbl 1348.14039
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Henselian valued fields; cell decomposition; analytic structure; motivic integration Cluckers, R; Lipshitz, L; Robinson, Z, Analytic cell decomposition and analytic motivic integration, Ann. Sci. Éc. Norm. Supér., 39, 535-568, (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) dg categories; semi-orthogonal decomposition; root stacks; logarithmic geometry; Kummer flat \(K\)-theory
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) toric variety; toric bundle; complete fan of cones; cohomology; total Chern classes; Chow ring; Grothendieck ring Michałek, M., Miró-Roig, R.M.: Smooth monomial Togliatti systems of cubics. Available at arXiv:1310.2529
| 0 |
fan 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; line arrangement; cross-ratio; golden ratio
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) invariant differential operator; Frobenius decomposition; \(G\)-variety; action of algebraic group ------, Invariante Differentialoperatoren und die Frobenius--Zerlegung einer \(G\) -Varietät, J. Lie Theory 11 (2001), 81--109.
| 0 |
fan 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 torus orbit; flag variety; fan; torus action; equivariant embedding Dabrowski, Romuald, On normality of the closure of a generic torus orbit in \(G/P\), Pacific J. Math., 0030-8730, 172, 2, 321-330, (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) projective surface; cell decomposition; moduli space; convex hull
| 0 |
fan 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 homology; HKR decomposition; derived 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) Kempf decomposition of strict tangent space; noetherian scheme
| 0 |
fan 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-dimensional algebras; block theory; flat families; representation theory; Brauer reciprocity; decomposition matrices
| 0 |
fan 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-Witten invariant; Fan-Jarvis-Ruan-Witten invariant; moduli space; quasimap; wall-crossing
| 0 |
fan 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 correspondence; wall-crossing formulas; Gromov-Witten invariants; Fan-Jarvis-Ruan-Witten invariants; mixed-Spin-P fields; cosection localized virtual cycle; Fermat quintic; quintic singularity
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Białynicki-Birula decomposition; intersection sheaf; tensor product
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Laurent polynomial; Newton polyhedron; Newton polygon; Adolphson-Sperber conjecture; star decomposition; Dwork-Mazur conjecture; zeta-function; generic hypersurface; Hodge polygon Wan, D. Q., \textit{Newton polygons of zeta functions and} L\textit{-functions}, Annals of Mathematics, 137, 249-293, (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) big arithmetic divisor; Zariski decomposition; projective space over \(\mathbb{Z}\) [14] Moriwaki (A.).-- Big arithmetic divisors on \(\mathbbP_\mathbbZ^n\), Kyoto J. Math. 51, p.~503-534 (2011). &MR~28 | &Zbl~1228.
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Atiyah-Bott-Berline-Vergne localization formula; Bialynicki-Birula decomposition; algebraic action; circle action; Hirzebruch class; Hirzebruch genus Weber, A.: Hirzebruch class and Białynicki-Birula decomposition. Preprint, arXiv:1411.6594 (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) complete symmetric varieties; almost homogeneous varieties; wonderful compactification; Bialynicki-Birula cellular decomposition Tchoudjem, A., Sur la cohomologie à support des fibrés en droites sur les variétés symétriques complètes, Transform. Groups, 15, 3, 655-700, (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) cell-decomposition; spaces of polynomials; semi-algebraic cell decomposition; discriminant
| 0 |
fan 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 structures; cell decomposition; quasianalyticity \beginbarticle \bauthor\binitsO. \bparticleLe \bsnmGal and \bauthor\binitsJ.-P. \bsnmRolin, \batitleUne structure o-minimale sans décomposition cellulaire \(C^\infty\), \bjtitleC. R. Math. Acad. Sci. Paris \bvolume346 (\byear2008), page 309-\blpage312. \endbarticle \endbibitem
| 0 |
fan 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; cohomological Hall algebra; trees; forests; Chern classes; framed quiver; cell decomposition; non-commutative Hilbert scheme Franzen, H, On cohomology rings of non-commutative Hilbert schemes and coha-modules, Math. Res. Lett., 23, 804-840, (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) geometric quotients of a fan; projective toric varieties; Stanley-Reisner ring; automorphism group Cox, D., The homogeneous coordinate ring of a toric variety, \textit{J. Algebra Geom.}, 4, 1, 17-50, (1995)
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Hitchin fibration; perverse sheaves; decomposition theorem; relative cohomology Chaudouard, P.-H.; Laumon, G., Un théorème du support pour la fibration de Hitchin, Ann. Inst. Fourier (Grenoble), 66, 711-727, (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) polynomial system solving; effective algebraic geometry; cylindrical algebraic decomposition; topology of semi-algebraic sets; connected components; parametric system; algebraic optimization; radical equidimensional decomposition Lazard, Daniel, Thirty years of polynomial system solving, and now? J, Symb. Comput., 44, 222-231, (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) divisorial Zariski decomposition; minimal model program; rational curves; symplectic manifold Druel S., Quelques remarques sur la décomposition de Zariski divisorielle sur les variétés dont la première classe de Chern est nulle, Math. Z. 267 (2011), no. 1-2, 413-423.
| 0 |
fan 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-Tate decomposition; imperfect residue field; abelian varieties; Tate module Hyodo, O., On the Hodge-Tate decomposition in the imperfect residue field case, Journal für die reine und ang. Math. 365 (1986) 97-113.
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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) singular value decomposition; Smith normal form; tropical variety; amoeba; matrix group; spherical 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) perverse sheaevs; parity sheaves; tilting sheaves; modular category O; decomposition numbers Achar, Pramod N.; Riche, Simon, Modular perverse sheaves on flag varieties I: tilting and parity sheaves, Ann. Sci. Éc. Norm. Supér. (4), 49, 2, 325-370, (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) regular prehomogeneous vector spaces; orbital 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) witness set; generic point; homotopy continuation; cascade homotopy; irreducible component; multiplicity; numerical algebraic geometry; polynomial system; numerical irreducible decomposition; primary decomposition; algebraic set; algebraic variety; number field
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Grassmannian; Deodhar decomposition; networks Talaska, K.; Williams, L.: Network parameterizations of grassmannians, Algebra number theory (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) Zariski decomposition; negative curves; \(K3\) surfaces; projective planes; blow ups
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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; non-symplectic involution; multiplicative Chow-Künneth decomposition; splitting property; 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) motives over general base; commutative group scheme; algebraic group space; Künneth decomposition Ancona, Giuseppe; Huber, Annette; Pepin Lehalleur, Simon, On the relative motive of a commutative group scheme, Algebr. Geom., 3, 2, 150-178, (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) generalized mixed volume; Cartier-divisors; fan; generalized polytopes; convex polytopes; toric variety; intersection numbers
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) automorphisms; coordinates; polynomial algebras; free associative algebras; degree estimate; canonical decomposition; sandwich; Nagata; tame; wild; lifting; stable tameness Kanel-Belov, A.; Yu, J.-T., On the lifting of the Nagata automorphism, Selecta Math. (N.S.), 17, 935-945, (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) flag varieties; quantum cohomology; total positivity; cell decomposition Rietsch, K.: Errata to: ''totally positive Toeplitz matrices and quantum cohomology of partial flag varieties''. J. amer. Math. soc. 21, 611-614 (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) quiver Grassmannian; torus action; generalized Kronecker quiver; cell decomposition; combinatorial labeling of cells; Dyck path
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) T-variety; divisorial fan; Weil divisor; line bundle; weight polytope; canonical class Petersen, L.; Süß, H., Torus invariant divisors, Isr. J. Math., 182, 481-505, (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) Jacobians; decomposable Jacobians; Riemann surfaces; group algebra decomposition Jiménez, L., On the group algebra decomposition of a Jacobian variety, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., 110, 1, 185-199, (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) algebraic cycles; Chow groups; motives; Bloch's conjecture; Bloch-Beilinson filtration; hyperkähler varieties; \(K3\) surfaces; Hilbert schemes; non-symplectic involution; multiplicative Chow-Künneth decomposition; ``spread'' of algebraic cycles in a family
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) chord diagram; Givental decomposition; Kontsevich-Penner matrix model; discrete volume; moduli space; Deligne-Mumford compactification Andersen, J. E.; Chekhov, L. O.; Norbury, P.; Penner, R. C., Topological recursion for Gaussian means and cohomological field theories, (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) parametric polynomial system; real comprehensive triangular decomposition; RegularChains
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Ehrhart generating function; \(\delta\)-vector; Gorenstein toric variety; stringy cohomology; decomposition theorem Karu, Kalle: Ehrhart analogue of the h-vector
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) X-rank; identifiability; polynomial decomposition; Waring decomposition; generic rank Comon, P; Qi, Y; Usevich, K, Identifiability of an X-rank decomposition of polynomial maps, SIAM Journal on Applied Algebra and Geometry, 1, 388-414, (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) derived categories; semiorthogonal decomposition; del Pezzo surfaces; rational points
| 0 |
fan 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; Mori dream space; Stable base locus decomposition D. Chen, I. Coskun & S. Nollet, Hilbert scheme of a pair of codimension two linear subspaces. Comm. Algebra 39, no. 8, 3021--3043, 2011.arXiv:0909.5170
| 0 |
fan 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 decomposition; adjoint representation; secant variety; nilpotent orbits; maximal orbit Kaji, H.; Yasukura, O., Secant varieties of adjoint varieties: orbit decomposition, J. Algebra, 227, 26-44, (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) family of analytic functions; decomposition of Milnor fiber; hypersurface singularity J.-P. Vannier, Familles à un paramètre de fonctions analytiques à lieu singulier de dimension un , C. R. Acad. Sci. Paris Sér. I Math. 303 (1986), no. 8, 367-370.
| 0 |
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