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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 flag manifold; orbit decomposition; spherical subgroup Kr''otz, B., and H. Schlichtkrull, Finite orbit decomposition of real flag manifolds, J. Eur. Math. Soc. 18 (2016), 1391--1403. | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) GLV method; elliptic curves; four-dimensional scalar 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) omputational algebraic geometry; components of solutions; irreducible decomposition; symbolic-numerical algorithm Sabeti, R., On non-binomial structure of cyclic 8-roots, Jpn. J. Ind. Appl. Math., 33, 401-415, (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) gauged linear sigma model; semi-orthogonal decomposition; Calabi-Yau/Landau-Ginzburg 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) 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 Lakshmibai, V., Brown, J.: Flag varieties: an interplay of geometry, combinatorics, and representation theory, Texts and Readings in Mathematics, vol. 53. Hindustan Book Agency, New Delhi (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) computational algebraic geometry; components of solutions; irreducible decomposition; symbolic-numerical algorithm; cyclic \(n\)-roots Sabeti, R.: Scheme of cyclic 9-roots. A heuristic numerical-symbolic approach. Bull. Math. Soc. Sci. Math. Roum. Tome \textbf{58}(106), 199-209 (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) Gröbner fans; homogeneous polynomial ideals; fan sequence; jump vector Daniel Mall, Gröbner fans and projective schemes, Symbolic rewriting techniques (Ascona, 1995) Progr. Comput. Sci. Appl. Logic, vol. 15, Birkhäuser, Basel, 1998, pp. 181 -- 191. | 0 |
fan 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; tropicalization; Artin fan; Berkovich space; logarithmic geometry; toroidal embedding | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) hypersurfaces; local cohomology; Jacobian ideal; logarithmic vector fields; logarithmic differential forms; free divisors; Hodge decomposition; Torelli type theorems; Macaulay's theorem; stable vector bundles; arrangements of hyperplanes Sernesi, E., The local cohomology of the Jacobian ring, Documenta Mathematica, 19, 541-565, (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) Zariski decomposition; big cone; elliptic fibration | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) simultaneous normalization; husk; flattening decomposition; noetherian induction; zariski main theorem; algebra husks Kollár, János, Hulls and husks, (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) Hodge decomposition; Moishezon manifold; lifting of the Frobenius map; Kodaira-Akizuki-Nakano vanishing theorem Deligne, P.; Illusie, L., Relèvements modulo \(p^2\) et décomposition du complexe de de Rham, Invent. Math., 89, 247-270, (1987), (fre) | 0 |
fan 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 ideal; asymptotic properties; primary decomposition; Artin-Rees lemma; Castelnuovo-Mumford regularity Swanson, I, Powers of ideals. primary decompositions, Artin-Rees lemma and regularity, Math. Ann., 307, 299-313, (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) isotypical decomposition; Jacobian variety; Fermat curves P. Barraza and Anita M. Rojas, The group algebra decomposition of Fermat curves of prime degree, Arch. Math. \textbf{104} (2015), 145-155. | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) hyperplane arrangements; cell decomposition | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) algebraic cycles; Chow groups; motives; finite-dimensional motives; weak splitting property; weak Lefschetz conjecture for Chow groups; multiplicative Chow-Künneth decomposition; Bloch-Beilinson filtration; EPW sextics; hyperkähler varieties; \(K3\) surfaces; abelian varieties; 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) toroidal Schubert varieties; horospherical actions; Billey-Postnikov 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) affine mapping; simplex; singular value decomposition; orthogonal 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) multigraded Castelnuovo-Mumford regularity; multigraded Hilbert polynomial; Stanley decomposition; Stanley filtration; Gotzmann number D. Maclagan and G.G. Smith, ''Uniform bounds on multigraded regularity,'' J. Algebraic Geom. (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) semigroup; presentation; tensor product; decomposition; invariant; torus Christopher Manon and Zhengyuan Zhou, Semigroups of \?\?\(_{3}\)(\Bbb C) tensor product invariants, J. Algebra 400 (2014), 94 -- 104. | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) residual intersection decomposition; intersection products; characteristic classes | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) identifiability; tensor decomposition; real rank; elliptic curves Angelini, E.; Bocci, C.; Chiantini, L., Real identifiability vs. complex identifiability, Linear Multilinear Algebra, 66, 6, 1257-1267, (2018) | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) variations of Hodge structure; Hodge loci; Fujita 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) geometry invariant theory (GIT); GIT quotient; variation of GIT; derived category of coherent sheaves; equivariant K-theory; semiorthogonal decomposition; exceptional collection; flop; flip; matrix factorization; derived category of singularities; hyper-Kähler reduction Halpern-Leistner, Daniel. \(The derived category of a GIT quotient\). J. Amer. Math. Soc. 28 (2015), no. 3, 871-912. | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Jacobian ring of hypersurface; simplicial complete fan; toric variety; Hodge structure V.V. Batyrev and D.A. Cox, \textit{On the Hodge Structure of Projective Hypersurfaces in Toric Varieties}, alg-geom/9306011. | 0 |
fan 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 Deligne-Mumford stacks; Chow decomposition; Voevodsky motives | 0 |
fan 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 curve; discrete logarithm; index calculus; Weil descent; decomposition attack Joux A., Vitse V.: Cover and decomposition index calculus on elliptic curves made practical: application to a previously unreachable curve over \({\mathcal{F}}_{q}^{6}\). In: Advances in Cryptology--EUROCRYPT 2012. Lecture Notes in Computer Science, vol. 7237, pp. 9-26. Springer, Berlin (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) Chow motif; Tate motif; Lefschetz motif; homogeneous space; Bruhat decomposition; Grassmannian of d-planes; higher Chow groups Köck, B., Chow motif and higher Chow theory of \(G / P\), Manuscripta Math., 70, 4, 363-372, (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) \(F\)-crystal; isocrystal; self-dual F-crystal; symplectic group; Witt vectors; Newton-Hodge decomposition; Newton-Hodge filtration; Hodge polygon; Newton polygon Csima, N.E.: Newton--Hodge filtration for self-dual F-crystals. Preprint, arXiv:0706.2530 | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Okounkov body; pseudoeffective divisor; asymptotic invariants of a divisor; Zariski decomposition Choi, S.; Park, J.; Won, J., Okounkov bodies and Zariski decompositions on surfaces, Bull. Korean math. soc., 54, 1677-1697, (2017), (special volume for Magadan Conference) | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Mori dream spaces; Mori chamber decomposition; stable base locus decomposition; Cox rings | 0 |
fan 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 forms; Waring rank; Waring decomposition; variety of sums of powers Buczyńska, W.; Buczyński, J.; Teitler, Z., Waring decompositions of monomials, J. algebra, 378, 45-57, (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) Zariski decomposition; hyperkähler manifold; Lagrangian fibration; termination of flops Zariski F-decomposition and Lagrangian fibration on hyperkähler manifolds, Math. Res. Lett., 5, 20, 951-959, (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) toric geometry; intersection cohomology; decomposition theorem; $f$-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) semi-algebraic function; semi-algebraic set; piecewise polynomial; cylindrial decomposition Mahé, L.: On the pierce-Birkhoff conjecture in three variables, J. pure appl. Algebra 211, 459-470 (2007) | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) arithmetic volume; arithmetic linear series; Zariski decomposition Moriwaki, Atsushi, Arithmetic linear series with base conditions, Math. Z., 0025-5874, 272, 3-4, 1383-1401, (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) tensor decomposition; tensor rank; identifiability | 0 |
fan 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 Jacobian; smooth curve; group of automorphisms; isogeny; polarization type Recillas, S.; Rodríguez, R. E.: Jacobians and representations of S3. Aportaciones mat. Invest. 13, 117-140 (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) connected quiver; toric quiver variety; fan; Picard group; Grothendieck group; cohomology of line bundles Lutz Hille, Toric quiver varieties, Algebras and modules, II (Geiranger, 1996) CMS Conf. Proc., vol. 24, Amer. Math. Soc., Providence, RI, 1998, pp. 311-325. | 0 |
fan 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; Galois 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) flag varieties; cell decomposition; Spaltenstein variety; semistandard Young tableaux; inversion number | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) \(V\)-equivalence; decomposition of singularities; modulus Jaworski P.: Decompositions of hypersurface singularities of type J k,0. Ann. Polon. Math. 59(2), 117--131 (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) topological invariance; state sum model; partition function; diagrammatic language; simplicial decomposition Girelli, F., Oeckl, R. and Perez, A., ''Spin foam diagrammatics and topological invariance'', Class. Quantum Grav., 19, 1093--1108, (2002). [DOI], [arXiv:gr-qc/0111022]. (Cited on pages 40 and 93.) | 0 |
fan 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 representations; tensor decomposition problem; Schubert calculus | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) reductive algebraic group; inner automorphisms; Lie algebra; adjoint representation; diagonal actions; orbits; stabilizer; Levi decomposition; Levi subgroup; invariants; stable points; Hilbert-Mumford theorem; orthogonal group; symplectic group Richardson, R. W., Conjugacy classes of \(n\)-tuples in Lie algebras and algebraic groups, Duke Math. J., 57, 1, 1-35, (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) \(G\)-scheme; \(G\)-ideal; \((G, \mathcal{O}_X)\)-module; \(G\)-prime \(G\)-ideal; \(G\)-radical; \(G\)-primary \(G\)-ideal; \(G\)-primary \((G, \mathcal{O}_X)\)-submodules; \(G\)-primary decomposition DOI: 10.1080/00927872.2012.656335 | 0 |
fan 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; Künneth decomposition; 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) Buchberger-Möller algorithm; H-basis; approximate ideal; real algebraic varieties; QR decomposition; Vandermonde matrices; a priori error bound Sauer, T, Approximate varieties, approximate ideals, and dimension reduction, Numer. Algor., 45, 295-313, (2007) | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) projective varieties; isolated singularities; resolution of singularities; simple normal crossing divisors, derived category; intersection cohomology; decomposition theorem; mixed Hodge theory; Hodge-Riemann bilinear relations | 0 |
fan 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 decomposition; homogeneous polynomials; Riemannian optimization; Newton method; retraction; complex optimization; trust region method; Veronese 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) primary decomposition; dimension theory; integral dependence; completion; regular rings; divisors; Krull rings; homological dimension; Cohen Macaulay rings; affine algebraic varieties Brüske, Rainer; Ischebeck, Friedrich; Vogel, Ferdinand: Kommutative algebra. (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) cylindrical algebraic decomposition; open weak CAD; open weak delineable; CAD projection; semi-definiteness; copositivity | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Néron model; stable curve; coloured fan; spherical variety; Mori theory; effective 1-cycles; flips Brion, M., Variétés sphériques et théorie de Mori, Duke Math. J., 72, 369-404, (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) Jacobian variety; Prym variety; isogeny decomposition; cyclic covering | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) analytic Langlands correspondence; parabolic structures; local fields; G-bundles; character variety; Hecke operator; spectral decomposition; hypergeometric opers | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) moduli spaces; pure sheaves; affine pavings; cellular decomposition; BPS states; Euler number; sheaves on the projective plane | 0 |
fan 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 Waring rank; rational Waring rank; Waring decomposition; monomial; real hyperbolic polynomial | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) simplicial fan; toric variety; cyclic group; permutation representation | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) coherent sheaves; derived categories; purity; decomposition theorem P. Achar and D. Treumann, Purity and decomposition theorems for staggered sheaves, arXiv:0808.3210. | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Siegel modular forms; birational invariants; decomposition; \(\vartheta\)-functions with harmonic coefficients; Siegel modular varieties; holomorphic differential forms; Baily-Borel compactification; bounded symmetric domain; desingularisation; singularities; holomorphic tensors; space of modular forms; graded algebra; stable modular forms Freitag, E.: Birational invariants of modular varieties and singular modular forms. Algebraic geometry and related topics (Inchon, 1992), Conf. Proc. Lecture Notes Algebraic Geom., I, pp. 151-167. Int. Press, Cambridge, MA (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) locked polynomial ideals; fan of cones; toric varieties; truncation chambers; ring of Laurent polynomials B. Ya. Kazarnovskiĭ, Truncations of systems of equations, ideals and varieties, Izv. Ross. Akad. Nauk Ser. Mat. 63 (1999), no. 3, 119 -- 132 (Russian, with Russian summary); English transl., Izv. Math. 63 (1999), no. 3, 535 -- 547. | 0 |
fan 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; paving; Bruhat decomposition J. Tymoczko, Paving Hessenberg varieties by affines, Selecta Math. (N.S.) 13 (2007), no. 2, 353--367. | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Bernoulli numbers; function field of one variable; Von Staudt-Clausen type decomposition theorem Chip Snyder, A concept of Bernoulli numbers in algebraic function fields, J. Reine Angew. Math. 307/308 (1979), 295 -- 308. | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) non-Archimedean geometry; tame geometry on Henselian valued fields; analogues to o-minimality; cell decomposition; quantifier elimination; Taylor approximation; Lipschitz continuity | 0 |
fan 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 examples; algebraic set; component of solutions; diagonal homotopy; embedding; equation-by-equation solver; generic point; homotopy continuation; irreducible component; numerical irreducible decomposition; numerical algebraic geometry; path following; polynomial system; witness point; witness set Andrew J. Sommese, Jan Verschelde, and Charles W. Wampler, Solving polynomial systems equation by equation, Algorithms in algebraic geometry, IMA Vol. Math. Appl., vol. 146, Springer, New York, 2008, pp. 133 -- 152. | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) factorization of polynomials; linear equations; primary decomposition; algorithm; primality of a polynomial ideal; algebraic extension of fields Lazard, D.: Commutative algebra and computer algebra. Lecture notes in computer science 144, 40-48 (1982) | 0 |
fan 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 \(K3\)-type; motives; Newton polygon; Hodge polygon; motivic decomposition; Brauer numbers; Fermat motives of \(K3\)-type; Tate conjecture on algebraic cycles; Hodge numbers Gouvêa, F. Q.; Yui, N.: Observations on Fermat motives of K3 type. J. number theory 71, 203-226 (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) survey; cohomology of discrete groups; automorphic forms; discrete series representations; Hodge structures; geometric automorphic form; discrete cocompact subgroups; Hodge decomposition; harmonic forms; Siegel modular forms Oda, T.: Hodge structures attached to geometric automorphic forms. Adv. stud. Pure math. 7, 223-276 (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) elliptic curve cryptography; endomorphism; exponentiation; Galbraith-Lin-Scott (GLS) endomorphism; Gallant-Lambert-Vanstone (GLV) endomorphism; \(\mathbb Q\)-curves; scalar decomposition; scalar 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) fan; toric manifold; quasitoric manifold; Barnette sphere Mauranda, N; Barrere, V, Prototype for the optimization of CO2 injection wells placement in a reservoir, Energy Procedia, 63, 3097-3106, (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) algebraic cycles; Chow groups; motives; Bloch-Beilinson filtration; hyperkähler varieties; Fano variety of lines on cubic fourfold; Beauville's splitting principle; multiplicative Chow-Künneth 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) matrix factorization; Fan-Jarvis-Ruan-Witten theory; Hochschild homology | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) holomorphic symplectic structure; moduli space; Mukai vector; Bogomolov decomposition; Donaldson morphism; Kummer variety; stable sheaf Rapagnetta A.: Topological invariants of O'Grady's six dimensional irreducible symplectic variety. Math. Z. 256, 1--34 (2007) | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) cylindrical algebraic decomposition; three-dimensional Euclidean space Arnon D., Collins G., McCallum S.: An adjacency algorithm for cylindrical algebraic decompositions of three-dimensional space. J. Symb. Comput. 5(1/2), 163--187 (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) tropical geometry; product-mix auction; auction theory; set packing; integer program; unimodularity; discrete convexity; Oda conjecture; smooth polytope conjecture; normal polytopes; integer decomposition property | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) tensor; rank 1 decomposition; tensor rank; multiprojective 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) Integer decomposition; exponentiation algorithms M. Ciet and F. Sica, An analysis of double base number systems and a sublinear scalar multiplication algorithm, Progress of Cryptology, Mycrypt 2005, Lecture Notes in Computer Science, vol. 3715, Springer, 2005, pp. 171-182. | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Tropical linear space; Bergman fan; f-vector conjecture; valuated matroid; matroid subdivision; mixed subdivision Rincón, F., Local tropical linear spaces, Discrete Comput. Geom., 50, 700-713, (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) fields of moduli; action of automorphism of reflex field on the torsion points; Abelian varieties with many complex multiplications; Abelian variety; cyclotomic fields; primes of good reduction; prime ideal decomposition of the endomorphism; Frobenius map; Riemann forms; field of definition; rank of a CM type; Langlands' conjecture; size of the Galois group of torsion points S. Lang, Complex multiplication. Berlin-Heidelberg-NewYork (1983). Zbl0536.14029 MR713612 | 0 |
fan 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 property; integrally closed; projectively normal; lattice polytopes | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) complex reductive Lie algebra; involution; Cartan decomposition; symmetric pair; adjoint group; adjoint action; singularities; nilpotent orbits T. Ohta: ''The singularities of the closures of nilpotent orbits in certain symmetric pairs'', Tôhoku Math. J., Vol. 38, (1986), pp. 441--468. | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) algorithms in algebra; Gröbner bases; primary decomposition; syzygies; integral closure; degree of complexity; computation of cohomology; ideal transform; ring of invariants; Nullstellensätze; Macaulay; Hilbert function; radical; Jacobian ideal; computational aspects; JFM 52.0127.01 Vasconcelos, W.V.: Computational methods in commutative algebra and algebraic geometry. With chapters by David Eisenbud. Daniel R, Grayson, Jürgen Herzog and Michael Stillman, volume 2 of Algorithms and Computation in Mathematics. Springer, Berlin (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) 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) moduli spaces; instanton bundles; Fano threefolds; semiorthogonal decomposition | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Hilbert basis; Hilbert series; rational cone; rational polyhedron; bottom decomposition; class group; triangulation; linear Diophantine 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) primary decomposition; differential primary decomposition; Noetherian operators; punctual Quot 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) numerical examples; components of solutions; embedding; generic points; homotopy continuation; irreducible components; monodromy group; numerical algebraic geometry; polynomial system; primary decomposition; numerical conditioning; multivariate interpolation A.J. Sommese, J. Verschelde, and C.W. Wampler, \textit{Using monodromy to decompose solution sets of polynomial systems into irreducible components}, in Application of Algebraic Geometry to Coding Theory, Physics and Computation, C. Ciliberto, F. Hirzebruch, R. Miranda, and M. Teicher, eds., Kluwer Academic Publishers, Norwell, MA, 2001, pp. 297--315. | 0 |
fan 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 spaces; buildings; tensor product decomposition M. Kapovich, \textit{Generalized triangle inequalities and their applications}, Proceedings of the International Congress of Mathematicians, Madrid, (2006), 719-742. | 0 |
fan 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; trace test; numerical irreducible 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) graph variety; picture space; set partition; ear decomposition | 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) enumerative geometry; real algebraic geometry; tropical geometry; Schubert calculus; Gromov-Witten invariants; floor 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) higher Nash blowup; normal toric variety; fan; Gröbner basis Duarte, D.: Higher Nash blowup on normal toric varieties. J. algebra 418, 110-128 (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) algebraic torus; fixed point; Białynicki-Birula decomposition; rational smoothness Carrell, J.B.: Torus actions and cohomology, In: Algebraic quotients. Torus actions and cohomology. The adjoint representation and the adjoint action, 83-158, Encyclopaedia Math. Sci. \textbf{131}, Springer, Berlin (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) decomposition of hypersurface singularities; generic hyperplane section; isolated critical point; Morse 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) trifocal variety; trifocal tensor; multiview geometry; minimal generators of an ideal; numerical primary decomposition; invariant theory Aholt, C; Oeding, L, The ideal of the trifocal variety, Math. Comput., 83, 2553-2574, (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) cylindrical algebraic decomposition; truth-table invariance; regular chains; triangular decomposition; problem formulation England, M., Bradford, R., Chen, C., Davenport, J.H., Maza, M.M., Wilson, D.: Problem formulation for truth-table invariant cylindrical algebraic decomposition by incremental triangular decomposition. In: Watt, S.M., Davenport, J.H., Sexton, A.P., Sojka, P., Urban, J. (eds.) CICM 2014. LNCS, vol. 8543, pp. 45--60. Springer, Heidelberg (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) real algebraic geometry; cylindrical algebraic decomposition Davenport, J.H.: Solving Computational Problems in Real Algebra/Geometry. Annales Mathematicae et Informaticae 44, 35-36 (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) Schubert varieties; reductive group; Bruhat decomposition; Steinberg variety; flag variety; Hecke algebra; spherical varieties Springer, T.A.: Schubert varieties and generalizations. In: \textit{Representation theories and algebraic geometry} (Montreal, PQ, 1997), NATO Adv.~Sci.~Inst.~Ser.~C~Math.~Phys.~Sci., vol 514, Kluwer~Acad.~Publ., Dordrecht, pp. 413-440 (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) Chevalley groups; elementary subgroups; minimal modules; invariant forms; decomposition of unipotents; root elements; highest weight orbit Luzgarev, A. Yu.; Vavilov, N. A., Normalizer of the Chevalley group of type \(E_7\), St. Petersburg Math. J., 27, 899-921, (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) semisimple, simply connected algebraic group; Borel subgroup; tensor products of G-modules; dominant weight; diagonal action; Weyl modules; Bruhat decomposition; filtrations of B-modules Mathieu, O., Filtrations of B-modules, Duke Math. J., 59, 2, 421-442, (1989) | 0 |
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