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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) characteristic free representation theory; general linear groups; invariant theory; symmetric algebras; exterior algebras; commutative rings
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Hodge theory; cohomology groups; toroidal embeddings; Siegel spaces; compactifications; modular surfaces; Chern classes; modular forms Ronnie Lee and Steven H. Weintraub, Topology of the Siegel spaces of degree two and their compactifications, Proceedings of the 1986 topology conference (Lafayette, La., 1986), 1986, pp. 115 -- 175.
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) formal groups; universal formal group; two-valued formal groups
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) cubic surfaces; heights; number of rational points; asymptotic behavior; toric variety E. Fouvry, ``Sur la hauteur des points d'une certaine surface cubique singulière'' dans Nombre et répartition de points de hauteur bornée (Paris, 1996) , Astérisque 251 , Soc. Math. France, Montrouge, 1998, 31--49.
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) classification of real Enriques surfaces; Euler characteristic; real part of a real algebraic surface Degtyarev A., Kharlamov V.: Around real Enriques surfaces. Revista Matematica de la Universidad Complutense de Madrid 10, 93--109 (1997)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) genus-2 curves; invariant theory; abelian surfaces; Selmer groups
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) non-orientable compact Riemann surfaces; \(p\)-groups; NEC groups; cyclic and dihedral groups; Riemann-Hurwitz formula
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) surfaces with trivial canonical bundle; characteristic \(p\)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Puiseux's theorem; Newton-Puiseux algorithm; infinitely near points; proximate points; satellite and free points; resolution of singularities; equisingularity; semigroup of a curve; characteristic exponents; linear families of germs; clusters; polar germ; formal power series; convergent power series E. Casas-Alvero, Singularities of plane curves, London Math. Soc. Lecture Note Ser. 276, Cambridge University Press, Cambridge 2000.
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Beauville surfaces; Galois action; fundamental group; triangle curves; quasiplatonic surfaces; Fuchsian triangle groups González-Diez, G; Torres-Teigell, D, Non-homeomorphic Galois conjugate Beauville structures on \({\mathrm PSL}(2, p)\), Adv. Math., 229, 3096-3122, (2012)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) to lifting; tame fundamental group; tame admissible cover; singular points; formal patching; positive characteristic S. Wewers, Deformation of tame admissible covers of curves, in \(Aspects of Galois Theory\), ed. by H. Völklein. LMS Lecture Note Series, vol. 256 (Cambridge University Press, Cambridge, 1999)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Salem numbers; \(K3\) surfaces; Coxeter groups; Fuchsian groups; Bernoulli convolutions; Alexander polynomials Smyth, C, Seventy years of salem numbers: a survey, Bull. Lond. Math. Soc., 47, 379-395, (2015)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) algebraic cycles; \(K\)-cohomology; Severi-Brauer varieties; central simple algebras; algebraic groups; homogeneous varieties McFaddin, P. K., The group of \(K_1\)-zero-cycles on the second generalized Severi-Brauer variety of an algebra of index 4, J. Algebra, 479, 192-202, (2017)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Kawamata-Viehweg vanishing; Fano threefolds; del Pezzo surfaces; Mori fiber spaces; positive characteristic
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Schur groups; Schur index; Schur subgroup; Brauer groups; dyadic Schur groups; characters; explicit generators; Clifford theory; Brauer's splitting theorem; cyclotomic fields; splitting fields U. Riese and P. Schmid, Schur indices and Schur groups II. J. Algebra 182, 183--200 (1996).
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) combinatorial Grassmannian; MacPhersonian; combinatorial differential manifolds; characteristic classes; homotopy groups Anderson, L.: Homotopy groups of the combinatorial Grassmannian. Discrete Comput. Geom. 20(4), 549--560 (1998)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) semisimple linear algebraic groups; motivic invariants; indices of Tits algebras; Grothendieck filtrations; algebras with orthogonal involution; quadratic forms; function fields of Severi-Brauer varieties Quéguiner-Mathieu, A.; Semenov, N.; Zainoulline, K., J. Pure Appl. Algebra, 216, 2614-2628, (2012)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Riemann surfaces; Fuchsian groups; automorphisms; epimorphisms; smooth quotients; cyclic groups; dihedral groups; metacyclic groups; genus; genera
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) projective plane bundles; Néron-Severi groups; effective divisors; elliptic surfaces; vector bundles; symmetric products
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Riemann surfaces; Belyi functions; Grothendieck dessin d'enfants; number fields; Galois groups; graphs and groups Coste, A. D.; Jones, G. A.; Streit, M.; Wolfart, J.: Generalised Fermat hypermaps and Galois orbits, Glasg. math. J. 51, 289-299 (2009)
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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) Mori dream space; Cox ring; class group; toric varieties; gale duality; the secondary fan; GKZ decomposition; good and geometric quotient; fan matrix; weight matrix; nef cone; moving cone; pseudo-effective cone; Picard number; bunch of cones; irrelevant ideal and locus; completion; completion of fans; minimal model program; small modification; rational contraction
| 0 |
fan 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 toric variety; one-parameter subgroup; wall-crossing; semi-orthogonal decomposition; singularity categories; full exceptional collection; GIT; windows; geometric invariant theory; fan structure; bounded derived category of coherent sheaves; equivariant ample line bundle; VGIT; reductive linear algebraic group; variations of GIT structures; birational methods; blow-ups at smooth centres; linearisation of a group action
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) decomposition of group-equivariant morphism into blowing-ups; action of algebraic group; three-dimensional torus; canonical cones; canonical singularities; canonical fan; minimal desingularization Danilov, V. I.,Birational geometry of toric 3-folds. Math. USSR-Izv.21 (1983), 269--280.
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) quiver Grassmannians; cellular decomposition; property (S); cluster algebras
| 0 |
fan 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 ring; Beauville-Bogomolov class; Beauville's Fourier decomposition; cohomological Fourier transform M. Shen and C. Vial, The Fourier transform for certain hyperKähler fourfolds, Mem. Amer. Math. Soc. 240 (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) determinantal varieties; minimal submanifolds; singular value decomposition; symmetric matrices with repeated eigenvalues
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) prehomogeneous vector space; orbital decomposition Kimura, T.; Kasai, S.: The orbital decomposition of some prehomogeneous vector spaces. Adv. stud. Pure math. 6, 437-480 (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) integral Zariski decomposition; \(K3\) surface; Picard number 2
| 0 |
fan 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-commutative resolutions; geometric invariant theory; semi-orthogonal decomposition
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) \(\ell\)-adic cohomology; perverse sheaves; decomposition theorem; independence of \(\ell\); perverse compatible 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) Semaev polynomials; elliptic curves; point decomposition problem; discrete logarithm problem Karabina, K., Point decomposition problem in binary elliptic curves, (International Conference on Information Security and Cryptology, (2015), Springer International Publishing)
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Demazure models; fan; action of the Galois group; complete variety over a nonclosed field
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) algebraic or analytic subset of the manifold of all lines in complex n-space; line complexes; decomposition of admissible line complexes; critical points; Grassmannians; subsets of Grassmann bundles as differential equations K. Maius, The structure of admissible line complexes in \(\mathbbCP^n\) , Trans. Mosc. Math. Soc. 39 (1981), 195-226.
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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 attack; hyperelliptic curve; discrete logarithm problem; Weil descent attack Nagao, K-i; Hanrot, G. (ed.); Morain, F. (ed.); Thomé, E. (ed.), Decomposition attack for the Jacobian of a hyperelliptic curve over an extension field, 285-300, (2010), Heidelberg
| 0 |
fan 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; exp-log functions; algorithms Strzeboński, A., Cylindrical decomposition for systems transcendental in the first variable, J. symb. comput., 46, 11, 1284-1290, (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) Fan-Jarvis-Ruan-Witten theory; virtual cycle; cosection localization
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) enhanced Milnor number; fibered link, open book decomposition; mixed polar weighted homogeneous polynomials; radial Newton polygon; Newton boundary Inaba, K., On the enhancement to the Milnor number of a class of mixed polynomials, J. Math. Soc. Jpn., 66, 25-36, (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) decomposition of tensors; condition numbers
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Grothendieck's motives; standard conjectures; Chow-Künneth decomposition; Bloch-Beilinson filtration; elliptic modular varieties Murre, J.: Lectures on motives. In: Müller-Stach, S., Peters, C. (eds.) Trancendental Aspects of Algebraic Cycles, London Math. Soc. Lecture Note Series, No: 133, pp. 123--170. Cambridge University Press, Cambridge (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) variable ordering; machine learning; cylindrical algebraic decomposition; feature extraction
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Noetherian operators; inverse systems; primary 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) decomposition; geometry; theorem proving [4] S.-C. Chou and X.-S. Gao, \textit{Ritt-Wu's decomposition algorithm and geometry theorem proving}, Proc. 10th International Conference on Automated Deduction (M.E. Stickel, ed.), pp. 207-- 220, Springer, Berlin (1990).
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Fan-Jarvis-Ruan-Witten theory; Landau-Ginzburg/Calabi-Yau correspondence; mirror symmetry Ross, D.; Ruan, Y., Wall-crossing in genus zero Landau-Ginzburg theory, (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) toric manifold; fan; multi-fan; quasitoric manifold; torus manifold; omniorientation H. Ishida, Y. Fukukawa, M. Masuda, Topological toric manifolds. \textit{Mosc. Math. J}. \textbf{13} (2013), 57-98, 189-190. MR3112216 Zbl 1302.53091
| 0 |
fan 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 Carlini, E.; Catalisano, M. V.; Oneto, A., Waring loci and Strassen conjecture, Adv. Math., 314, 630-662, (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) flag varieties; Schubert cell decomposition; \(M\)-property; configuration spaces; Mayer-Vietoris spectral sequence Shapiro B. Z., Topology Appl. 43 (1) pp 65-- (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) toric Hilbert scheme; 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) moment-angle complex; Stanley-Reisner ring; quasitoric manifold; virtual polytope; multi-fan; multi-polytope; star-shaped sphere; arrangement of affine hyperplanes
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) quantum cohomology; Gromov-Witten invariant; intersection number; rational curve; cell decomposition; Hermitian symmetric 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) localization; graduate rings; flat modules; primary decomposition; ring extensions; valuations; completion; commutative algebra N. Bourbaki, \textit{Commutative Algebra}, Chapters 1-7, Elements of Mathematics (Berlin) (Springer-Verlag, Berlin, 1998); Translated from the French; Reprint of the 1989 English translation.
| 0 |
fan 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; \(K3\) surfaces; cubic hypersurfaces; Fano varieties of lines; Franchetta conjecture; hyper-Kähler varieties; Beauville ``splitting property'' conjecture; multiplicative Chow-Künneth decomposition
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) abelian variety; Chow motive; hard Lefschetz theorem; Lefschetz decomposition Künnemann, K., A Lefschetz decomposition for Chow motives of abelian schemes, Invent. Math., 113, 1, 85-102, (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) discrete logarithm; index calculus; elliptic curves; point decomposition; symmetry; satisfiability; \textsc{dpll} 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) p-torsion of class groups; number of points of Jacobian; number of points of algebraic curve over finite field; Kloosterman sum; isogeny decomposition of the Jacobians van der Geer, Gerard; van der Vlugt, Marcel, Kloosterman sums and the \textit{p}-torsion of certain Jacobians, Math. Ann., 290, 3, 549-563, (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) \(p\)-adic semianalytic set; cell decomposition; basic subset; semialgebraic function; separation lemma; Denef cell decomposition theorem Nianzheng Liu, Analytic cell decomposition and the closure of \?-adic semianalytic sets, J. Symbolic Logic 62 (1997), no. 1, 285 -- 303.
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Kostka polynomials; atomic decomposition; nilpotent conjugacy classes; nilpotent orbit varieties William Brockman and Mark Haiman, Nilpotent orbit varieties and the atomic decomposition of the \?-Kostka polynomials, Canad. J. Math. 50 (1998), no. 3, 525 -- 537.
| 0 |
fan 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 analytic space; analytic function; zero set; vanishing ideal; Nullstellensatz; primary decomposition Broglia, F; Pieroni, F, The nullstellensatz for real coherent analytic surfaces, Rev. Mat. Iberoam., 25, 781-798, (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) cylindrical algebraic decomposition; Lazard valuation; Puiseux with parameter 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) Hilbert scheme; Białynicki-Birula decomposition; Gröbner bases
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) basic semi-analytic set; basic semi-algebraic set; real spectrum; 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) cell complexes; locally symmetric spaces; configurations; projective space; modular varieties; principal congruence subgroup; deformation retract; projective configurations; Voronoi decomposition McConnell M., Math. Ann. 290 pp 441-- (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) complete intersections of quadrics; complete intersection of Fermat hypersurfaces; Hodge decomposition; duality Terasoma T.: Complete intersections of hypersurfaces--the Fermat case and the quadric case. Jpn. J. Math. 14(2), 309--384 (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) canonical polyadic decomposition; CANDECOMP/PARAFAC decomposition; indscal; third-order tensor; uniqueness; algebraic geometry I. Domanov and L. De Lathauwer, \textit{Generic uniqueness conditions for the canonical polyadic decomposition and INDSCAL}, SIAM J. Matrix Anal. Appl., 36 (2015), pp. 1567--1589, .
| 0 |
fan 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; Chow ring; decomposition of the small diagonal --------, Chow rings and decomposition theorems for \(K3\) surfaces and Calabi-Yau hypersurfaces, Geom. Topol. 16 (2012), 433--473.
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Bialynicki-Birula decomposition; Cayley Grassmannian; octonion algebra; \(G_2\); spin(7); torus action; exceptional holonomy
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) compactified Jacobian; decomposition of Picard variety; unibranch singularity; Gorenstein 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) cylindrical algebraic decomposition of a real algebraic plane curve; complexity ROY (M.-F.) , SZPIRGLAS (A.) . - Complexity of computations with real algebraic numbers , à paraître au Journal of Symbolic Computation.
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) formally real field; real valuation; valuation fan; Henselian field; real algebraic variety; abstract space of orderings
| 0 |
fan 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 variety; Witt group; triangulated category; cellular decomposition Paul Balmer and Baptiste Calmès, Witt groups of Grassmann varieties, J. Algebraic Geom. 21 (2012), no. 4, 601 -- 642.
| 0 |
fan 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 birational morphism; smooth curves on surfaces; with rational double points; blow-up of a smooth point; Gorenstein; threefold singularities D. Morrison, ''The biratioanl geometry of surfaces with ratiional double points,''Math. Ann.,271, 415--438 (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) effective divisor; nef divisor; Zariski decomposition of a \(\mathbb{Q}\)- divisor; line bundle Fujita, T., Approximating Zariski decomposition of big line bundles, \textit{Kodai Math. J.}17 ( 1994), no. 1, 1- 3.
| 0 |
fan 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; equivariant sheaves; Białynicki-Birula decomposition; torus localization; Betti numbers Choi, J; Maican, M, Torus action on the moduli spaces of plane sheaves of multiplicity four, J Geom Phys, 83, 18-35, (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) moment-angle manifold; simplicial fan; simple polytope; complex structure; Dolbeault cohomology; Hodge numbers T E Panov, Y Ustinovsky, Complex-analytic structures on moment-angle manifolds, Mosc. Math. J. 12 (2012) 149
| 0 |
fan 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 functions on Lie algebra; compact connected Lie group; maximal torus; flag variety; cellular decomposition; Weyl group; Schubert cycles; equivariant cohomology; reduced decompositions A. Arabia, Cycles de Schubert et cohomologie équivariante de \?/\?, Invent. Math. 85 (1986), no. 1, 39 -- 52 (French).
| 0 |
fan 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; logarithmic double complex; de Rham complex; simplicial fan; hypercohomology groups; vanishing theorems; Ishida's cohomology groups T. Oda: ''The algebraic de Rham theorem for toric varieties'',Tohoku Math. J., Vol. 2, (1993), pp. 231--247.
| 0 |
fan 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 curve; polynomial time algorithm Kaltofen, E.: Computing the irreducible real factors and components of an algebraic curve. Appl. algebra eng. Comm. comput. 1, No. 2, 135-148 (1990)
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) moduli spaces; principally polarized abelian varieties; Satake compactification; locally symmetric spaces; intersection cohomology; decomposition theorem; link bundles
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) phosphorylation; multistationarity; monostationarity; post-translational modification (PTM); mass action reaction network; enzyme reaction; connectedness; Newton polytope; cylindrical algebraic decomposition; circuit polynomial; semialgebraic set; symbolic 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) cluster algebra; cluster scattering diagram; root system; Narayana number; exchange matrix; Cambrian fan; broken line
| 0 |
fan 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 decomposition; star configurations point; generic hypersurfaces E. Carlini, E. Guardo, and A. Van Tuyl, Star configurations on generic hypersurfaces, J. Algebra 407 (2014), 1--20.
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fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) quiver representation; generic decomposition; semisimple representation; orthogonal 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) Jacobian of Hurwitz curve; decomposition of a Jacobian as product of elliptic curves Bennama, H.; Carbonne, P.: Périodes et jacobiennes des courbesxm+Ym+Zm=0. Bull. Polish acad. Sci. 44 (1996)
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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) tensors; semi-algebraic geometry; singular value decomposition Seigal, A.; Ranks and Symmetric Ranks of Cubic Surfaces; arXiv: 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) singular value decomposition; structured matrices; curse intersections; Gaussian elimination; Sylvester matrix; algorithms Ana, M., Jose-Javier, M.: A new source of structured singular value decomposition problems. ETNA 18, 188--197 (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) action of Laplacian; Hodge type decomposition; Kac-Moody-Lie algebra; chain complex; flag 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) Ricci flat Kähler metric; hyper-Kähler; Hilbert scheme; holomorphic symplectic form; moduli space; Mukai vector; Bogomolov decomposition. K.\ G. O'Grady, A new six-dimensional irreducible symplectic variety, J. Algebraic Geom. 12 (2003), no. 3, 435-505.
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) derived categories; minimal model program; ortogonal decomposition; birational geometry
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) spherical spaces; polar decomposition; compactification Knop, F.; Krötz, B.; Sayag, E.; etal., Simple compactifications and polar decomposition for real spherical spaces, Selecta Math. (N.S.), 21, 1071-1097, (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) Clifford algebra; Lie algebra; idempotent lattice; color spinor space; recoding invariance; spinors; Dirac operator; standard model; Clifford normal real form; Cartan decomposition; inhomogeneous Lorentz transformation; heterodimensional transformation; involutive automorphism; transposition; geometric charge operator Schmeikal, B.: Transposition in Clifford algebra: SU(3) from reorientation invariance. In: Ablamowicz, R. (ed.) Conference Proceedings on Clifford Algebras and Their Applications in Mathematical Physics, Cookeville, 2002. Birkhäuser, Boston (2003)
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Jacobi algebra; quasi-homogeneous potential; Jordan-Chevalley decomposition; noncommutative differential 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) tensor decomposition; complex identifiability; real identifiability; elliptic 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) SYM \(\mathcal{N}=4\); positive Grassmannians; Deodhar 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) decomposition of Hartshorne-Rao module; arithmetical Cohen-Macaulay scheme; liaison addition; arithmetically Buchsbaum schemes; double linkage; Hilbert 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) zeta function factorization; Dwork hypersurfaces; isotypic decomposition; arithmetic mirror symmetry DOI: 10.1016/j.ffa.2010.10.003
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) quadric fibration; Fano scheme of lines; derived category; semiorthogonal decomposition; Clifford algebra A. Kuznetsov, Scheme of lines on a family of 2-dimensional quadrics: geometry and derived category, math. AG/arXiv:1011. 4146.
| 0 |
fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) quadric; intersection of quadrics; derived category; semiorthogonal decomposition; Clifford algebra; Morita theory; Brauer group; rationality; del Pezzo surface; Fano threefold A. Auel, M. Bernardara and M. Bolognesi, Fibrations in complete intersections of quadrics, Clifford algebras, derived categories, and rationality problems, J. Math. Pures Appl. (9) 102 (2014), 249-291.
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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) cell decomposition; double Bott-Samelson varieties Mouquin, V.: Cell decompositions of double Bott-Samelson varieties. Int. math. Res. not. 18, 8372-8410 (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) tensor decomposition; identifiability; Segre variety Chiantini, L., Mella, M., Ottaviani, G.: One example of general unidentifiable tensors, arXiv:1303.6914
| 0 |
fan 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 definable sets; singularities; local density; Whitney stratification; geometry of germs; Lipschitz decomposition Cluckers, R.; Comte, G.; Merle, M., Local metric properties and regular stratifications of \textit{p}-adic definable sets, Comment. math. helv., 87, 963-1009, (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) ample Cartier divisor; pseudo effective divisor; anti-Kodaira dimension; rational surface; isolated rational singularities; minimal resolution; Zariski decomposition of divisors; dimension formula; anti-genus Sakai, F, Anticanonical models of rational surfaces, Math. Ann., 269, 389-410, (1984)
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