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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 grassmanni-enne, 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) quadrature domain; conformal mapping; real comprehensive triangular 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) vector decomposition problem; hyperelliptic curves
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) toric variety; fan; torus action; Weil divisors; Picard group; Brauer group; étale cohomology T. J. Ford, Topological invariants of a fan associated to a toric variety, Comm. Algebra 23 (1995), 4031--4045.
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) real algebraic surface; dimensions of the cohomology spaces; Hodge decomposition Silhol, R.: Real algebraic surfaces. Lecture notes in mathematics 1392 (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) Deodhar decomposition; Grassmannian; KP equation; soliton solution Kodama, Y.; Williams, L., The deodhar decomposition of the Grassmannian and the regularity of KP solitons, Adv. Math., 244, 979-1032, (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) varieties of singular matrices; global Milnor fibration; classical symmetric spaces; Cartan model; Cartan conjugacy; pseudo-rotations; ordered symmetric and skew-symmetric factorizations; Schubert decomposition; Schubert cycles; Iwasawa decomposition; characteristic subalgebra
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) cohomology of algebraic curves; smooth irreducible curve; indecomposable \(F_ i[\Gamma ]\)-modules; moduli space; complex elliptic curves; decomposition formula; genus; number of cusps Chad Schoen, On certain modular representations in the cohomology of algebraic curves, J. Algebra 135 (1990), no. 1, 1 -- 18.
0
fan 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; log-canonical threshold; toric image divisor; 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) Schubert varieties; intersection 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) tensor rank; symmetries; tensor decomposition; matrix multiplication
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) hypertoric varieties; conical symplectic varieties; universal cover; fundamental group of regular locus; Bogomolov's decomposition; uniqueness of symplectic structure
0
fan 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 morphism; special linear group; decomposition theorem; supports
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) commuting variety; singular locus; decomposition class; irregular element; semisimple element; nilpotent element \beginbarticle \bauthor\binitsV. L. \bsnmPopov, \batitleIrregular and singular loci of commuting varieties, \bjtitleTransform. Groups \bvolume13 (\byear2008), page 819-\blpage837. \endbarticle \OrigBibText V. L. Popov, Irregular and singular loci of commuting varieties , Transform. Groups, 13 (2008), 819-837. \endOrigBibText \bptokstructpyb \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) geometric quotients of a fan; projective toric varieties; Stanley-Reisner ring; automorphism group Cox, DA, Erratum to ``the homogeneous coordinate ring of a toric variety'', J. Algebraic Geom., 23, 393-398, (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) semialgebraic sets; polygon containment problem; computational geometry; piano mover's problem; cylindric algebraic decomposition; 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) fan; semifan; completion; polycone; extension; subdivision F. Rohrer, \textit{Completions of fans}, arXiv:1107.2483.
0
fan 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 decomposition; crystalline cohomology; fitrations; degeneration of spectral sequences Ogus, Arthur, \(F\)-crystals, Griffiths transversality, and the Hodge decomposition, Astérisque, 221, ii+183 pp. pp., (1994)
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Gröbner deformation; hypergeometric differential equation; Gröbner bases; Gröbner fan; \(D\)-modules; holonomic systems; toric variety Saito, M., Sturmfels, B., Takayama, N.: Gröbner Deformations of Hypergeometric Differential Equations, Vol.~6 of Algorithms and Computation in Mathematics. Springer, Berlin (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) tensor rank decomposition; Waring decomposition; effective identifiability; reshaped Kruskal criterion; Hilbert function; algorithm L. Chiantini, G. Ottaviani, and N. Vannieuwenhoven, \textit{Effective criteria for specific identifiability of tensors and forms}, SIAM J. Matrix Anal. Appl., 38 (2017), pp. 656--681, .
0
fan 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 decomposition; automorphism group of a complex K3-surface; sporadic Mathieu group Mason, G., Symplectic automorphisms of K3-surfaces (after S. Mukai and V.V. nikulin), CWI Newslett., 13, 3, (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) Macaulay inverse system; regularity degree; globalization; zero-dimensional scheme; Gorenstein Artin ring; irreducible components; generalized additive decomposition Cho, Y. H.; Iarrobino, A., Inverse systems of zero dimensional schemes in \(\mathbb{P}^n\), J. Algebra, 366, 42-77, (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) Galois representation; \(p\)-adic field; absolute Galois group; generalized Hodge-Tate decomposition; canonical operator; Banach algebra Sen S.: An infinite-dimensional Hodge--Tate theory. Bull. Soc. Math. France 121(1), 13--34 (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) Bott tower; quasitoric manifold; reduced submatrix; fan; semifree circle action; classification; cohomology M. Masuda and T. E. Panov, ''Semifree Circle Actions, Bott Towers and Quasitoric Manifolds,'' Mat. Sb. 199(8), 95--122 (2008) [Sb. Math. 199, 1201--1223 (2008)].
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) cell decomposition of modular varieties; Siegel modular group; Voronoi's reduction theory; analytic Whitney-stratification; Poincaré dual decomposition; Voronoi cells; Satake partial compactification MacPherson, R.; McConnell, M., Explicit reduction theory for Siegel modular threefolds, Invent. math., 111, 575-625, (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) invariants of binary forms; first fundamental theorem; invariant theory; decomposition; natural representation Howe, R.: ''The classical groups'' and invariants of binary forms. Proc. symp. Pure math. 48, 133-166 (1988)
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Galois rings; classification algorithm; Witt decomposition
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) symmetric tensor rank; Veronese embedding; power sum decomposition; multivariate polynomials
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Nash trees; Nash complexity; Cholesky decomposition of a positive definite matrix
0
fan 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; anti-symplectic involution; \(K3\) surfaces; (double) EPW sextics; Beauville's splitting principle; multiplicative Chow-Kenneth decomposition; spread of algebraic cycles
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) simple polytope; simplicial fan; hard Lefschetz theorem; toric variety Fleming, Balin; Karu, Kalle, Hard Lefschetz theorem for simple polytopes, J. Algebraic Combin., 0925-9899, 32, 2, 227-239, (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) derived category of coherent sheaves; exceptional sequences; semi-orthogonal decomposition; Godeaux surface Böhning, C.; Graf Von Bothmer, H.-C.; Sosna, P., \textit{on the Jordan-Hölder property for geometric derived categories}, Adv. Math., 256, 479-492, (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) Hilbert's basis theorem; primary decomposition; structure theorem for finitely generated modules; dimension theory; field theory; going-down; affine algebras; Hilbert's Nullstellensatz; Noether's normalization theorem; principal ideal theorem; systems of parameters; Hilbert's syzygy theorem Sharp R.Y., in ''Commutative Algebra, Math. Sciences Research Inst. Publ. No. 15.'' pp 443-- (1989)
0
fan 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 curve; torus 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) cellular algebras; semisimple algebras; Temperley-Lieb algebras; Hecke algebras; decomposition numbers; intersection cohomology sheaves; quiver representations Graham G.G., Lehrer G.I.: Cellular algebras and diagram algebras in representation theory. Adv. Stud. Pure Math. 40, 141--173 (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) dg category; semiorthogonal decomposition; Azumaya algebra; Brauer group; Grothendieck ring; noncommutative motives Tabuada, Gonçalo, A note on secondary \(K\)-theory, Algebra Number Theory, 10, 4, 887-906, (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; CAD; topology of a semi-algebraic set; computation with real algebraic numbers; real solving of polynomial systems Lazard, D., CAD and topology of semi-algebraic sets, Math. Comput. Sci., 4, 93-112, (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) Küchle four folds; Fano varieites; semiothogonal decomposition of derived categories Кузнецов, А. Г., О многообразиях кюхле с числом пикара, большим, Изв. РАН. Сер. матем., 79, 4, 57-70, (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) cohomology extension; Gysin morphism; derived category; intersection cohomology; decomposition theorem; Schubert varieties; resolution of singularities
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) linear algebraic group; torsor; flag variety; equivariant oriented cohomology; motivic decomposition; Hecke algebra
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) algebraic statistics; Bayesian networks; independence models; polynomial ideals; decomposition; secant varieties; Segre varieties L. D. Garcia, M. Stillman, and B. Sturmfels, \textit{Algebraic geometry of Bayesian networks}, J. Symbolic Comput., 39 (2005), pp. 331--355, .
0
fan 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 sets; cylindrical algebraic decomposition; solving inequalities; quantifier elimination Strzeboński, A, Cylindrical algebraic decomposition using local projections, J. Symb. Comput., 76, 36-64, (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) toric variety; immaculate line bundle; splitting fan; Picard rank; primitive 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) Fourier restriction; Fourier extension operator; polynomial curve; affine arclength measure; decomposition Dendrinos, S; Wright, J, Fourier restriction to polynomial curves I: a geometric inequality, Am. J. Math., 132, 1031-1076, (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) Alexandrov body; convexity; geometric inequalities; mixed volume; Zariski decomposition; positive 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) decomposition of morphism of algebraic schemes; finite cohomology groups; proper modification
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) simplicial complex; fan; spherical complex; strongly polytopal; Gale transforms; nonprojective toric varieties Günter Ewald, Spherical complexes and nonprojective toric varieties, Discrete Comput. Geom. 1 (1986), no. 2, 115 -- 122.
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) irreducible decomposition of algebraic curve; fat point; algorithm; plane projection Galligo, A.; Rupprecht, D.: Irreducible decomposition of curves, J. symbolic comput. 33, No. 5, 661-677 (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) toric variety; fan; smooth compactification J.-L. Colliot-Thélène, D. Harari and A.\ N. Skorobogatov, Compactification équivariante d'un tore (d'après Brylinski et Künnemann), Expo. Math. 23 (2005), no. 2, 161-170.
0
fan 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 basis; classification of generalized Igusa local zeta functions; simple; decomposition diagram
0
fan 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; elliptic genus; orbifold
0
fan 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; \(l\)-adic cohomology; finite field; Ishida complexes; 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) Bergman fan; tropical linear space; cyclic Bergman fan; nested set fan; fine subdivision; cyclic flat; A-discriminant; Newton polytope F. Rincón, Computing tropical linear spaces. J. Symb. Comput. 51, 86-98 (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) perverse sheaves over finite fields; intersection complex; decomposition theorem; convolution morphism for affine flag 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) Lie algebra; stability; Levi decomposition; radical; grading; Hopf algebra; Hopf algebra action; \(H\)-module algebra; \(H\)-comodule algebra Gordienko, A. S., Structure of \textit{H}-(co)module Lie algebras, J. Lie Theory, 23, 3, 669-689, (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) \(p\)-adic integration; \(p\)-adic cell decomposition; rectilinearization; rationality of Serre Poincaré series Cluckers, R; Leenknegt, E, Rectilinearization of semi-algebraic \(p\)-adic sets and denef's rationality of poincare series, J. Number Theory, 128, 2185-2197, (2008)
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) homotope; well-tempered element; orthogonal decomposition of Lie algebra; mutually unbiased bases; quantum protocol; Temperley-Lieb algebra; Poincaré groupoid; generalized Hadamard matrix; Laplace operator on graph; discrete harmonic analysis; perverse sheaves; gluing of t-structures
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) monodromy conjecture; topological zeta function; monodromy; surface singularity; plane curve singularity; resolution graph; semigroup condition; splice diagram; splice decomposition Némethi, A.; Veys, W., Generalized monodromy conjecture in dimension two, Geom. topol., 16, 1, 155-217, (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) stratified spaces; pseudomanifolds; intersection homology; Poincaré duality; Moore space decomposition; string theory; \(D\)-branes; conifolds; mirror symmetry Banagl M.: Singular spaces and generalized Poincaré complexes. Electron. Res. Announc. Math. Sci. 16, 63--73 (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) elimination; solving systems of polynomial equations; mechanical theorem proving; decomposition of algebraic varieties; Hilbert's Nullstellensatz D.M. Wang, An elimination method based on Seidenberg's theory and its application, in:Computational Algebraic Geometry, Progress in Mathematics 109 (Birkhäuser, Boston, 1993) pp. 301-328.
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) polyhedral product; fan; toric variety; primitive generator; holomorphic map; homotopy equivalence; 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) integer decomposition; public key cryptosystems; Gallant-Lambert-Vanstone method; scalar multiplication; \(\mu\)-Euclidian algorithm Park Y.H., Jeong S., Kim C.H., Lim J.: An alternate decomposition of an integer for faster point multiplication on certain elliptic curves. In: Naccache, D., Paillier, P (eds) PKC 2002, LNCS, vol. 2274, pp. 323--334. Springer, Heidelberg (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) tensor decomposition; Segre-Veronese varieties; identifiability; bi-homogeneous polynomials Ballico, E.; Bernardi, A., A uniqueness result on the decompositions of a bi-homogeneous polynomial, Linear Multilinear Algebra, 65, 677-698, (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) semi-stable sheaves; Białynicki-Birula decomposition; Betti numbers; Hodge numbers Maican, M., On the homology of the moduli space of plane sheaves with Hilbert polynomial \(5m+3\), Bull. Sci. Math., 139, 1-32, (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) quantifier elimination; cylindrical algebraic decomposition; 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) mixed Hodge theory; homotopy of a complex algebraic variety; neighborhood of a subvariety; links of isolated singular points; cup product; decomposition theorem of intersection homology Hain, R.M. and Durfee, A.: Mixed Hodge structures on the homotopy of links. Math. Ann.,280, 69--83 (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) decomposition of the Jacobian; zeta function; Weil numbers Carbonne, P.; Henocq, T.: Décomposition de la jacobinne sur LES corps finis. Bull. Polish acad. Sci. math. 42, No. 3, 207-215 (1994)
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) semiring; lacking zero sums; direct sum decomposition; projective (semi)module; indecomposable; upper bound monoid
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) determinant line bundle; vertex operators; loop group; Kac-Moody Lie algebras; affine algebras; infinite-dimensional Lie groups; central extensions; circle group; Grassmannian; polarized Hilbert space; Schubert cell decomposition; homogeneous space; complex manifold; Borel-Weil theory; spin representation; Kac character formula; Bernstein-Gel'fand- Gel'fand resolution A. Pressley and G. Segal, \textit{Loop Groups} (Clarendon Press, Oxford, 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) decomposition of algebraic sets; Ritt principle; algorithm [38] W.-T. Wu, \textit{On zeros of algebraic equations: an application of Ritt principle}, Kexue Tongbao 31, 1--5 (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) Murre's conjecture; motivic decomposition; Chow group; curve; abelian variety; elliptic modular threefold; product varieties Xu, K; Xu, Z, Remarks on murre's conjecture on Chow groups, J. K-Theo., 12, 3-14, (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) cylindrical algebraic decomposition; variable ordering; machine learning; neural network
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) homogeneous spaces; symmetric spaces; Lie group integrators; connection; Runge-Kutta; skeleton; Stiefel manifold; Lax pair; Grassmannian; projective space; polar decomposition; constant rank matrices H. Z. Munthe-Kaas and O. Verdier, \textit{Integrators on homogeneous spaces: Isotropy choice and connections}, Found. Comput. Math., 16 (2016), pp. 899--939.
0
fan 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 model; Fan-Jarvis-Ruan-Witten invariants; Fermat quintic; Givental's \(J\) function; mirror family; Picard-Fuchs equations; Lagrangian cones Priddis, N. and Shoemaker, M., A Landau-Ginzburg/Calabi-Yau correspondence for the mirror quintic, 2013, arXiv:1309.6262.
0
fan 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; Godeaux surface; semiorthogonal decomposition; exceptional sequence; Hochschild homology Böhning, Christian; Graf von Bothmer, Hans-Christian; Sosna, Pawel, On the derived category of the classical godeaux surface, Adv. Math., 243, 203-231, (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) semisimple Lie algebra; Cartan decomposition; nilpotent orbit; Slodowy slice; sheet; Jordan class Bulois, M, Sheets of symmetric Lie algebras and slodowy slices, J. Lie Theory, 21, 1-54, (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) induced representation; nilpotent Lie group; unitary representation; multiplicity; direct integral decomposition; semialgebraic sets; coadjoint orbits L. Corwin, F. Greenleaf, and G. Grélaud, ''Direct Integral Decompositions and Multiplicities for Induced Representations of Nilpotent Lie Groups,'' Trans. Amer. Math. Soc. 304, 549--583 (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) tensor decomposition; secant variety; Schur functor; multilinear algebra
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) associated primes; complete intersection; invariant subring of polynomial ring; homological dimension; decomposition of monomial ideals
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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) elimination; triangular sets; resultants; Gröbner bases; polynomial equations; Wu-Ritt's characteristic sets; geometric theorem proving; decomposition of algebraic varieties Wang, D., \textit{Elimination Practice: Software Tools and Applications}, (2004), Imperial College Press, London, UK
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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) Hessenberg varieties; affine paving; Bruhat decomposition M. Precup, \textit{Affine pavings of Hessenberg varieties for semisimple groups}, Selecta Math. (N.S.) \textbf{19} (2013), no. 4, 903-922.
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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 deformation; hypergeometric differential equation; Gröbner bases; Gröbner fan; \(D\)-modules; holonomic systems; regular holonomic cyclic module M. Saito, B. Sturmfels, N. Takayama, Gröbner Deformations of Regular Holonomic Systems, Algorithms and Computation in Mathematics, Vol. 6, Springer, Berlin, 1999.
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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) torus fibrations; 4-manifold; elliptic surface; handlebody decomposition without 1 or 3-handles; signature; singular fibers; diffeomorphism Y. Matsumoto: Topology of torus fibrations. Sugaku, 36, 289-301 (1984) (in Japanese).
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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 complex; fan; toric scheme; tropical variety Gil, José Ignacio Burgos; Sombra, Martin: When do the recession cones of a polyhedral complex form a Fan, Discrete comput. Geom. 46, No. 4, 789-798 (2011)
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) projective modules; characteristic polynomials; eigenspaces; étale algebras; Jordan 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) algebraic cycles; Chow group; motive; Bloch-Beilinson filtration; Beauville's ``splitting property'' conjecture; multiplicative Chow-Künneth decomposition; Fano varieties; tautological ring
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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; numerical equivalence; Zariski decomposition M. Fulger and B. Lehmann. \textit{Zariski decompositions of numerical cycle classes. Journal of Algebraic Geometry}. arXiv:1310.0538 (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) tensor decomposition; numerical algebraic geometry; Koszul flattenings
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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 diagonal; Calabi-Yau complete intersection; decomposable 0-cycle; Chow ring; intersection theory; Hodge structure Fu, L, Decomposition of small diagonals and Chow rings of hypersurfaces and Calabi-Yau complete intersections, Adv. Math., 244, 894-924, (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) chord diagram; Kontsevich-Penner matrix model; discrete volumes; Harer-Zagier recursion; givental decomposition; ancestor invariants J. E. Andersen, L. O. Chekhov, P. Norbury, and R. C. Penner, ''Models of discretized moduli spaces, cohomological field theories, and Gaussian means,'' arXiv:1501.05867v1 (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) decomposition theorem; intersection cohomology; perverse sheaves M. A. de Cataldo, L. Migliorini, \textit{The projectors of the decomposition theorem are motivated}, Preprint, arXiv:1401.3705.
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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-orthogonal decomposition; derived category; gerbe; Brauer-Severi variety; algebraic stack
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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 an algebraic variety; greatest common divisors of univariate polynomials; polynomial ideal theory M. Kalkbrener, \textit{A generalized Euclidean algorithm for computing triangular representations of algebraic varieties}, J. Symbolic Comput., 15 (1993), pp. 143--167.
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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) isotypical decomposition of Jacobians; completely decomposable Jacobians; Prym-Tyurin varieties Jiménez, L.: On the kernel of the group algebra decomposition of a Jacobian variety. PhD thesis, Universidad de Chile (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) numerical algebraic geometry; numerical irreducible decomposition; local irreducible decomposition; numerical local irreducible 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) lines on cubics; random geometry; Kostlan distribution; harmonic 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) tensor rank; binary forms; Waring's problem; polynomial decomposition Comas G and Seiguer M 2011 On the rank of a binary form \textit{Found. Comput. Math.}11 65--78
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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) elliptic fibration; rationality of complex homology 2-cells; Pic; Betti number of the minimal model; decomposition of a pseudo-effective divisor R. V. Gurjar and A. R. Shastri, On the rationality of complex homology \(2\) -cells. II, J. Math. Soc. Japan 41 (1989), 175--212.
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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) slope decomposition; overconvergent modular form; \(p\)-adic modular forms F. Gouvêa , Continuity Properties of Modular Forms, Elliptic Curves and Related Topics , CRM Proceedings and Lecture Notes , AMS 4 ( 1994 ), 85 - 99 . MR 1260956 | Zbl 0829.11026
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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; good quotients; fan H. A. Hamm: Very good quotients of toric varieties. In: Bruce, J. W. (ed.) et al. Real and complex singularities. Proceedings of the 5th workshop; São Carlos, Brazil, July 27--31, 1998. Chapman/Hall/CRC Res. Notes Math. 412, 61--75 (2000)
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