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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 fan of an ideal in the polynomial ring; tropical variety; Gfan Jensen, Anders N., Gfan, a software system for Gröbner fans and tropical varieties, (2005-2018), Available at
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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; tensors; singular space of a tensor; best rank \(r\) approximation; secant varieties; tangent space; critical points; Euclidean distance degree G. Ottaviani, R. Paoletti, A geometric perspective on the singular value decomposition. \textit{Rend. Istit. Mat. Univ. Trieste}\textbf{47} (2015), 107-125. MR3456581 Zbl 1345.15006
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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) Cox ring; horospherical; complexity one; polyhedral divisor; divisorial 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) geometric vertex decomposition; liaison; linkage; Gröbner bases; Gröbner degeneration
0
fan 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 vertices of a neighborly unimodular fan; toric manifold Kleinschmidt, P., Schwartz, N., Sturmfels, B.: Unimodular fans, linear codes, and toric manifolds. In: Discrete and Computational Geometry: Papers from the DIMACS Special Year, pp. 179--186. American Mathematical Society, Providence (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) torus action; divisorial fan; Chow quotient; moduli of stable curves with marked points; fansy divisor; Grassmann variety Altmann, Klaus; Hein, Georg, A fansy divisor on \(\overline{M}_{0, n}\), J. Pure Appl. Algebra, 212, 4, 840-850, (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) algebraic cycles; abelian varieties; Lefschetz decomposition Akhtar, R., Joshua, R. Lefschetz decomposition for quotient varieties, to appear in \( K\)-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) Koblitz curves; scalar multiplication; point halving; \(\tau \)-adic expansion; integer decomposition Avanzi, R.M., Heuberger, C., Prodinger, H.: Minimality of the hamming weight of the \({\tau }\)-NAF for Koblitz curves and improved combination with point halving. In: Preneel, B., Tavares, S. (eds.) SAC 2005. LNCS, vol. 3897, pp. 332-344. Springer, Heidelberg (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) Young's partition lattice; Hankel matrices; tropical polynomials; symmetric chain decomposition Dhand, V.: Tropical decomposition of Young's partition lattice, J. algebraic combin. 39, No. 4, 783-806 (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) homogeneous varieties; cellular decomposition; fibrations; maximal orbit under action of parabolic group; Hilbert scheme of smooth rational curves Perrin N., Courbes rationnelles sur les variétés homogènes, Ann. Inst. Fourier (Grenoble), 2002, 52(1), 105--132
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) abelian varieties; correspondences; decomposition of Jacobians
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) classical ind-group; Bruhat decomposition; Schubert decomposition; generalized flag; homogeneous ind-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) projective variety; isolated singularities; resolution of singularities; derived category; intersection cohomology; decomposition theorem; bivariant theory; Gysin morphism; cohomology manifold
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Hodge-Tate decomposition; de Rham cohomology; \(p\)-adic étale cohomology; \(p\)-adic Galois-representation on étale cohomology; crystalline cohomology Fontaine, J.-M.; Messing, W., \(p\)-adic periods and \(p\)-adic étale cohomology, Arcata, Calif., 1985, Providence
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Thomas decomposition; Gauss-Bruhat decomposition; LU decomposition; triangular systems; counting solutions of polynomial systems Plesken, W.: Gauss--Bruhat decomposition as an example of Thomas decomposition, Arch. math. (Basel) 92, No. 2, 111-118 (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) basic semialgebraic set; algebraic set; space of orderings; fan; open 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) induced representations; cohomology of vector bundles; closed subgroup; induction functor; derived functors; Mackey decomposition theorem; parabolic subgroups of algebraic groups Vella, D.: Parabolic subgroups of algebraic groups and induction. Mem. amer. Math. soc. 62, 347 (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) inverse kinematics; configurations of a robot manipulator; Cylindrical Algebraic Decomposition Gózalez-López, M. J.; Recio, T.: Path tracking in motion planning. Comput. J. 36, 515-524 (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) tropical geometry; cubic surface; Cox ring; 27 lines; tropical modification; tropical basis; hyperplane arrangement; Weyl group; polyhedral Fan Ren, Q., Shaw, K., Sturmfels, B.: Tropicalization of del pezzo surfaces. Adv. Math. \textbf{300}, 156-189 (2016). Special volume honoring Andrei Zelevinsky
0
fan 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; chambers; big cone; del Pezzo surfaces DOI: 10.1016/j.jalgebra.2010.02.037
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) rationality of Poincaré series; Macintyre's theorem; elimination of quantifiers; p-adic fields; cell decomposition theorem Denef, J., \textit{p}-adic semi-algebraic sets and cell decomposition, J. Reine Angew. Math., 369, 154-166, (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) cohomology of line bundles; decomposition patterns; filtrations; vanishing Humphreys, J.E.: Cohomology of line bundles on G/B for the exceptional group G2. J. Pure Appl. Math.44, 227--239 (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) lower semicontinuous spectrum; spectrum of critical point; decomposition of a critical point; Arnol'd conjecture; mixed Hodge structures in vanishing cohomologies --, The spectrum and decompositions of a critical point of a function.Sov. Math. Dokl. 27(1983), 575--579.
0
fan 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 Grassmannian; soliton solution; KP equation; combinatorics; positroid stratification; Deodhar decomposition; Go-diagrams Kodama, Y.; Williams, L.: Combinatorics of KP solitons from the real Grassmannian, Algebras, quivers and representations, the Abel symposium 2011, 155-193 (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) symmetric tensors; Waring decomposition; mixture models
0
fan 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; intersection homology; Poincaré morphism; Betti numbers; divisors; decomposition; Gorenstein 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) tensor decomposition; Waring decomposition; effective identifiability Massarenti, A.; Mella, M.; Staglianò, G.; Effective identifiability criteria for tensors and polynomials; J. Symbolic Comput.: 2018; Volume 87 ,227-237.
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) monomial ideals; irreducible decomposition; Newton polyhedron; symbolic powers; linear programming; Waldschmidt constant
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) lattice polytope; integer decomposition property; integrally closed; Ehrhart series; Hilbert basis Cox, D.A., Haase, C., Hibi, T., Higashitani, A.: Integer decomposition property of dilated polytopes. Electron. J. Comb. \textbf{21}(4) (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) homogeneous polynomial; differential operators; multiplication; Euler operator; Laplace-Beltrami operator; Weil (metaplectic) representation; prehomogeneous vector space; commutative space of parabolic type; decomposition of the space of regular functions
0
fan 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 equivalence; reconstruction algorithms; Waring 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) tensor product decomposition; geometric Satake correspondence
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) birational transformations; decomposition group; inertia group Blanc, Jérémy; Pan, Ivan; Vust, Thierry, On birational transformations of pairs in the complex plane, Geom. Dedicata, 0046-5755, 139, 57-73, (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) Grassmann varieties; extremal varieties; singular value decomposition; Eckart-Young theorem; exterior algebra; linear spectral sets
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Fermat curves; Jacobian variety; isogeny 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) Zariski decomposition; pseudo-effective divisor; effective divisor; negative definite cycle
0
fan 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 algorithm
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) fan; multi-fan; toric variety; torus manifold; orbifold; elliptic genus; Chern class Hattori, A.; Masuda, M., Elliptic genera, torus orbifolds and multi-fans, Internat. J. math., 16, 9, 957-998, (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) mirror partner; toric Deligne-Mumford stack; stacky fan; orbifold Chow ring; SINGULAR; unfolding
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) bilipschitz geometry; normal surface singularity; metrically conical; thick-thin decomposition Birbrair, L., Neumann, W., Pichon, A.: The thick-thin decomposition and the bi-Lipschitz classification of normal surface singularities. arXiv:1105.3327v3
0
fan 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; Beauville's ``splitting property'' conjecture; Bloch-Beilinson filtration; Chow groups; Fano variety; \(K3\) surface; motive; 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) abelian varieties; Siegel modular varieties; toroidal compactifications; Voronoi reduction theories; the perfect cone decomposition M. Dutour Sikirić, K. Hulek and A. Schürmann, Smoothness and singularities of the perfect form compactification of {{\mathcal{A}}_{g}}, Algebraic Geom. 2 (2015), no. 5, 642-653.
0
fan 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 Da Qing Wan, Newton polygons and congruence decompositions of \?-functions over finite fields, \?-adic methods in number theory and algebraic geometry, Contemp. Math., vol. 133, Amer. Math. Soc., Providence, RI, 1992, pp. 221 -- 241.
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) compactification; Dolbeault cohomology; De Rham cohomology; Hodge decomposition; vanishing theorem
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) semigroup algebra; toric ring; binomial ideal; primary decomposition; binomial \(D-\)module; hypergeometric systems; combinatorial game; mass-action kinetics Miller, E.: Theory and applications of lattice point methods for binomial ideals. In: Fløystad, G., Johnsen, T., Knutsen, A.L. (eds.) Combinatorial Aspects of Commutative Algebra and Algebraic Geometry. Abel Symposia, vol. 6, pp. 99--154. Springer, Heidelberg (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) logarithmic Gromov-Witten invariant; moduli stack; logarithmic stable map; virtual fundamental class; perfect relative obstruction theory; degeneration; gluing formula; relative map; stable logarithmic map; tropical map; rigid tropical curve; tropicalization; Artin 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) toric variety; Groebner basis; toric ideal; Groebner fan; Cox homogeneous coordinate ring; Stanley-Reisner ideal; Graver basis; Hilbert basis; triangulation; Scarf complex; lattice ideal
0
fan 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) cotangent space; embedding dimension; affine scheme; Gröbner basis Gröbner fan; border basis 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) abelian variety; polarization; product of two polarized abelian varieties; unique decomposition; principally polarized abelian 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) polynomial Waring decomposition; tensor rank; symmetric tensor rank; homogeneous polynomial; Veronese embedding; Waring decomposition; generic identifiability L. Chiantini, G. Ottaviani, and N. Vannieuwenhoven, \textit{On generic identifiability of symmetric tensors of subgeneric rank}, Trans. Amer. Math. Soc., 369 (2017), pp. 4021--4042, .
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) central and parallel projections; finite and affine cameras; camera decomposition; curves; classifying differential invariants; projective and affine transformations; signatures; machine vision Burdis, J. M.; Kogan, I. A.; Hong, H., Object-image correspondence for algebraic curves under projections, SIGMA, 9, 023, (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) anabelian geometry; étale fundamental groups; \(p\)-adically closed fields; local-global principles for Brauer groups; rational points; valuations; Hilbert decomposition theory F. Pop, On the birational p-adic section conjecture, Compos. Math. 3 (2010), no. 3, 621-637.
0
fan 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; polynomial system; witness sets; projections; membership test; numerical irreducible decomposition; geometric genus; Lüroth quartics J.D. Hauenstein and A.J. Sommese, \textit{Membership tests for images of algebraic sets by linear projections}, Appl. Math. Comput., 219 (2013), pp. 6809--6818.
0
fan 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 étale cohomology; \(p\)-adic vanishing cycles; Hodge-Tate decomposition; crystalline conjecture K. Kato and W. Messing, Syntomic cohomology and \(p\)-adic étale cohomology , Tôhoku Math. J. (2) 44 (1992), 1--9.
0
fan 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; uniqueness of decomposition; identifiability; parafac; candecomp L. Chiantini and G. Ottaviani, \textit{On generic identifiability of 3-tensors of small rank}, SIAM J. Matrix Anal. Appl., 33 (2012), pp. 1018--1037, .
0
fan 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; real tensor rank; real symmetric tensor rank; additive decomposition of polynomials; typical 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) derived category of coherent sheaves; homogeneous spaces; semiorthogonal decomposition; exceptional collection; flag variety Samokhin A., Some remarks on the derived categories of coherent sheaves on homogeneous spaces, J. Lond. Math. Soc., 2007, 76(1), 122--134
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) isogeny from the Jacobian; decomposition of Jacobian; cover of elliptic curve; genus 2 curve Shaska, T, Curves of genus 2 with (\textit{N,N}) decomposable Jacobians, J. Symbolic Comput., 31, 603-617, (2001)
0
fan 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; moment-angle complex; moment-angle manifold; quasitoric manifold; toric manifold; quasitoric manifold; smooth toric variety; non-singular toric variety; fan; simplicial wedge; join A. Bahri, M. Bendersky, F. R. Cohen, and S. Gitler, ''On an infinite family of toric manifolds associated to a given one'' (to appear).
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Hilbert scheme; movable cone; Severi divisor; stable base locus 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) generators of the pluricanonical ring; ample divisor; Zariski decomposition; existence of flip; minimal model conjecture Moriwaki A.: Semiampleness of the numerically effective part of Zariski decomposition. J. Math. Kyoto Univ. 26(3), 465--481 (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) Bernstein polynomial; fan; characteristic manifold; morphism without blowing-up Sabbah, C., Proximité évanescente. II. Équations fonctionnelles pour plusieurs fonctions analytiques, Compos. Math., 64, 213-241, (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) Henselian fields; closedness theorem; analytic structure; b-minimal cell decomposition; quantifier elimination; ordered abelian groups; fiber shrinking; Łojasiewicz inequalities; piecewise continuity; Hölder continuity; curve selection; transformation to normal crossings; resolution of singularities; definable retractions; extension of continuous definable functions
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Beilinson adeles; De Rham complex; Hodge spectral sequence; Hodge decomposition Beilinson, JAMS 2 pp 473-- (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) algebraic cycles; decomposition of the diagonal
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) étale cohomology groups; de Rham-Witt cohomology groups; crystalline cohomology groups; Hodge-Tate decomposition Bloch, S.; Kato, K., \textit{p}-adic étale cohomology, Inst. Hautes Études Sci. Publ. Math., 63, 107-152, (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) globally \(F\)-regular; globally \(F\)-split; log Fano; log Calabi-Yau; Zariski decomposition GTY.~Gongyo and S.~Takagi, Surfaces of globally \(F\)-regular and \(F\)-split type, Math. Ann. \textbf 364 (2016), no. 3-4, 841--855.
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) toroidal variety; fan; resolution of cusps of Hilbert modular variety G K SANKARAN, Effective resolution of cusps on Hubert modular varieties, Math Proc Cam Phi Soc 99 (1986), 51-57
0
fan 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; fan; Kähler cone; hypersurfaces; Newton polyhedra; reflexive polytopes; mirror symmetry; Calabi Yau varieties; symmetry of Hodge numbers Cox D. A., ''Recent developments in toric geometry,'' in: Algebraic Geometry, Proceedings of the Summer Research Institute, Santa Cruz, CA, USA, July 92--29, 1995 (Proc. Symp. Pure Math. 62 (Pt. 2), Amer. Math. Soc., Providence, 1997, pp. 389--436.
0
fan 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; free (semi) module; projective (semi) module; indecomposable; semidirect complement; amalgamation; extension
0
fan 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; Chow-Künneth decomposition C. Vial, Chow--Künneth decomposition for 3- and 4-folds fibred by varieties with trivial Chow group of zero-cycles, J. Alg. Geom., 24 (2015), 51--80.
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) traces; differential forms; Lipschitz domains; de Rham complex; Hoodge decomposition D. Mitrea, M. Mitrea, and M.-C. Shaw, \textit{Traces of differential forms on Lipschitz domains, the boundary de Rham complex, and Hodge decompositions}, Indiana Univ. Math. J., 57 (2008), pp. 2061-2095.
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) homography; projective collineation; perspective collineation; factorization; decomposition; distortion
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) stable maps; Poincaré polynomial; torus action; cell decomposition Martín, A L, Poincaré polynomials of stable map spaces to Grassmannians, 193-208, (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) symmetric tensor rank; Veronese variety; scheme rank; multiple point; Waring 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) geometric Langlands conjecture; spectral 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) rational points; homogeneous polynomial; quasi-projective variety; Hilbert subset; algebraic cycle with rational coefficients; finite fields; rationality of the zeta function of Hilbert sets; Dwork's rationality theorem; decomposition theorem Wan, Daqing: Hilbert sets and zeta functions over finite fields, J. reine angew. Math. 427, 193-207 (1992)
0
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) circular maximal function; polynomial cell decomposition; semi-algebraic 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) Dressian; tropical Grassmannian; tropical plane; fan; ray Herrmann, S.; Joswig, M.; Speyer, D., Dressians, tropical Grassmannians, and their rays, Forum Math., 26, 6, (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) positive line bundles; Newton-Okounkov bodies; Zariski decomposition; abelian surfaces
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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) basicness; semialgebraic sets in surfaces; 4-elements fan criterion Acquistapace, F.; Broglia, F.; Vélez, M. P.: An algorithmic criterion for basicness in dimension 2. Manus. math. 85, No. 1 (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) lattice polytope; Ehrhart polynomial; Ehrhart series; Cayley decomposition; \(h^*\)-polynomial; Gorenstein polytope C. Haase, B. Nill and S. Payne, Cayley decompositions of lattice polytopes and upper bounds for \(h^*\)-polynomials, J. Reine Angew. Math. 637 (2009), 207-216.
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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 surface; algebraic curve; cell decomposition; numerical algebraic geometry; homotopy; polynomial system; numerical examples Besana, G.M., Di Rocco, S., Hauenstein, J.D., Sommese, A.J., Wampler, C.W.: Cell Decomposition of Almost Smooth Real Algebraic Surfaces. Preprint (2011). Available at http://math.tamu.edu/~jhauenst/preprints
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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; Beauville's splitting property; multiplicative Chow-Künneth decomposition; Fano varieties of \(K3\) type
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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 homogeneous variations of Hodge structure; cohomology of noncompact locally symmetric varieties; Hodge decomposition Zucker S.: Locally homogenous variations of Hodge structure. L'Enseignement Mathématique 27(3--4), 243--276 (1981)
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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) cylindrical algebraic decomposition; equational constraint; regular chains; triangular decomposition Bradford, R., Chen, C., Davenport, J.H., England, M., Moreno Maza, M., Wilson, D.: Truth table invariant cylindrical algebraic decomposition by regular chains. In: Gerdt, V.P., Koepf, W., Seiler, W.M., Vorozhtsov, E.V. (eds.) CASC 2014. LNCS, vol. 8660, pp. 44--58. Springer, Heidelberg (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) Grothendieck standard conjecture; fourfolds; abelian schemes; standard conjecture of Lefschetz type; Néron minimal model; reduction of multiplicative type; \(K3\) surface; hyperkähler variety; Chow-Lefschetz decomposition; Abel-Jacobi map 10.1070/IM2015v079n01ABEH002738
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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-linear set; total cone; convex join; quasi-half-space; constructible topology; polarity; infinitesimal decomposition McEnerney J., Convex Polarities Over Ordered Fields (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) dg categories; noncommutative nilpotency conjecture; perfect categories; Grothendieck group; Chow motive; semi-orthogonal decomposition of perfect categories; noncommutative nilpotency relation ] M. Bernardara, M. Marcolli, and G. Tabuada Some remarks concerning Voevodsky's nilpotence conjecture. Available at arXiv:1403.0876. To appear in J. Reine Angew. Math.
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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) Koblitz curves; scalar multiplication; point halving; \(\tau \)-adic expansion; integer decomposition Avanzi R., Ciet M., Sica F.: Faster scalar multiplication on Koblitz curves combining point halving with the Frobenius endomorphism. In: Bao F., Deng R.H., Zhou J. (eds.) Public Key Cryptography--PKC 2004, 7th International Workshop on Theory and Practice in Public Key Cryptography, Singapore, March 1--4, 2004, Lecture Notes in Comput. Sci., vol. 2947, pp. 28--40. Springer (2004).
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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) witness set; generic point; homotopy continuation; numerical algebraic geometry; numerical irreducible decomposition; primary decomposition; algebraic set; algebraic variety; LLL D.J. Bates, J.D. Hauenstein, T.M. McCoy, C. Peterson, and A.J. Sommese, \textit{Recovering exact results from inexact numerical data in algebraic geometry}, Exp. Math., 22 (2013), pp. 38--50.
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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) \(D\)-modules; vanishing theorems; Hodge decomposition; positive characteristic [Ma] Maehara K.: Vanishing theorems in algebraic geometry. Sophia Kokyuroku in Math. Published by Department of Math. Sophia Univ. No. 34, 1992
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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) cobordism; toric variety; blow-up; fan
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) exponential polynomials; cylindrical algebraic decomposition; quantifier elimination; decision procedures; interval arithmetic Xu, M.; Li, Z.-B.; Yang, L., Quantifier elimination for a class of exponential polynomial formulas, J. symb. comput., 68, 1, 146-168, (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) real reductive Lie algebra; adjoint group; Cartan decomposition; Weyl group; Chevalley Theorem; invariant polynomial functions; invariant \(C^ r\)-functions G. Barbançon, ''Invariants de classeCr des groupes finis engendres par des reflexions et théorème de Chevalley en classeCr,''Duke Math. J.,53, 563--584 (1986).
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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) Grassmannian variety; exceptional collection; tilting bundle; semi-orthogonal decomposition; quasi-hereditary algebra Ragnar-Olaf Buchweitz, Graham J. Leuschke & Michel Van den Bergh, ``On the derived category of Grassmannians in arbitrary characteristic'', Compos. Math.151 (2015) no. 7, p. 1242-1264
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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) \(M\)-space; cellular decomposition; spaces with involution; spectral sequence of the involution
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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-Pfaffian set; sub-Pfaffian set; cylindrical decomposition; Tarski-Seidenberg principle Pericleous, S.; Vorobjov, N.: New complexity bounds for cylindrical cell decompositions of sub-Pfaffian sets. Discrete and computational geometry, the goodman -- pollack festschrift (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 theorem Cataldo, M.A.A.; Migliorini, L., The Chow motive of semismall resolutions, Math. Res. Lett., 11, 151-170, (2004)
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