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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. equivariant theory; multiplicative structure of cohomology ring; toric varieties
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. contractions of non numerically effective extremal rays; deficiency; variety of dimension four; polarized varieties Beltrametti, M.: Contractions of non numerically effective extremal rays in dimension 4, Proc. Alg. Geom. Teubner-Texte Math. 92, 24-37, Berlin: Teubner 1986
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Kodaira dimension; classification of complex noncomplete algebraic varieties; logarithmic Mori theory Fujita T., Algebraic Geometry 10 pp 167-- (1987)
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. classification of Fano varieties; Del Pezzo surfaces; Mori's theory of minimal models; \(\mathbb Q\)-Fano varieties V.\ A. Iskovskikh and Y.\ G. Prokhorov, Fano varieties, Algebraic geometry. V, Encyclopaedia Math. Sci. 47, Springer, Berlin (1999), 1-247.
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. blow-up; classification of rank 2 vector bundles; exceptional divisor; extension of vector bundles; non-compact surface; transition matrix Ballico E., Gasparim E. (2002) Numerical Invariants for Bundles on Blow-ups. Proc. Amer. Math. Soc. 130(1): 23--32
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. classification of non-Gorenstein Fano 3-folds; singularity index; Enriques surfaces as hyperplane sections; cyclic quotient singularities Sano, T.: On classification of non-Gorenstein \({\mathbb Q}\)-Fano \(3\)-folds of Fano index \(1\). J. Math. Soc. Japan 47, (1995) 369-380.
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Jacobian; Hilbert scheme; vector bundle; sheaf of reductive Lie algebras; Fano toric varieties; period maps; stratifications; Hodge-like structures; relative Higgs structures; perverse sheaves; Langlands program Reid, I, Nonabelian Jacobian of smooth projective surfaces -- a survey, Sci China Math, 56, 1-42, (2013)
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. set of rational curves; conformal quantum field theories; sets of rational points; arithmetic varieties; Calabi-Yau threefolds; mirror symmetry; toric varieties Y. I. Manin, Problems on rational points and rational curves on algebraic varieties, Surveys in Di erential Geometry, vol. II, International Press, Princeton 1980.
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Galois covers; dihedral covers; direct image sheaves; algebraic varieties; classification of algebraic varieties
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. projective toric varieties; dual defect; Cayley decompositions; Gale dual; tropical variety; iterated circuits; non-splitting flags
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Riemann-Schottky problem; Jacobian varieties of curves; theta divisors of non-hyperelliptic Jacobians; translation manifolds; Lie-Wirtinger- Poincaré-Tchebotarev theorem
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. toric varieties; lattice of orbits closures; idempotents; torus action; polyhedral cones Neeb, K.-H., Toric varieties and algebraic monoids, Semin. Sophus Lie, 2, 159-187, (1992)
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. toric varieties; complete regular fan; bistellar flip; number of facets of a chamber; degenerations of monomial ideals; toric ideal; Gröbner basis
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Newton polyhedra; invariants of algebraic sets; isoperimetric inequalities; toric varieties
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Albanese mapping; Kodaira dimension; classification of algebraic varieties
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Hodge numbers of projective toric varieties; deformation theory; toric Gorenstein singularities Altmann K., van Straten D.: The polyhedral Hodge number h 2,1 and vanishing of obstructions. Tohoku Math J. 52, 579--602 (2000)
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. small quantum cohomology; non-Fano toric varieties Laura Costa and Rosa M. Miró-Roig. The Leray quantum relation for a class of non-Fano toric varieties. Preprint.
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. classification of projective varieties of small degree; Hilbert polynomial; Hilbert scheme P. IONESCU, Embedded projective varieties of small invariants, in Proceedings of the Week of Algebraic Geometry, Bucharest 1982, Lecture Notes in Math., 1056 (1984), pp. 142-186. Zbl0542.14024 MR749942
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. combinatorial theory of convex polytopes; Fano varieties; Fano polytopes; quotients of toric varieties Ewald, G.: Algebraic geometry and conoexity, in P. M. Grubev and I. M. Wills (eds).Handbook of Convex Geometry vol. A North Holland Amsterdam, 1993, pp. 603-626.
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. mirror symmetry; cohomology ring of semiample nondegenerate hypersurfaces; complete simplicial toric varieties; Calabi-Yau hypersurfaces; Hodge structure A.R. Mavlyutov, \textit{The Hodge structure of semiample hypersurfaces and a generalization of the monomial divisor mirror map}, math/0012208 [INSPIRE].
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. unirationality of non-rational three-dimensional hypersurface; Prym varieties
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. varieties of small degree; classification of varieties [I] P. IONESCU, ''On varieties whose degree is small with respect to codimension'',Math. Ann., 271 (1985), 339--348
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. deformations of log pairs; minimal model program; Mori chamber decomposition; simplicial toric Fano varieties; rigidity T. de Fernex and C. D. Hacon, ''Deformations of canonical pairs and Fano varieties,'' J. Reine Angew. Math., vol. 651, pp. 97-126, 2011.
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. homology of toric varieties; convex polytope Eikelberg, Markus: Zur Homologie torischer Varietäten. Diss. Ruhr-Univ. Bochum 1989
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. geography of Fano manifolds; geography of Calabi-Yau manifolds; roots of Hilbert polynomials; Verlinde formula; moduli spaces of vector bundles on algebraic curves; toric varieties
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. lattice points; semigroup algebras; homogeneous elements; graded automorphisms; normal forms of elements; automorphism groups; projective toric varieties Bruns W., Gubeladze J.: Polytopal linear groups. J. Algebra 218, 715--737 (1999)
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. algebraic surfaces; non-complete algebraic surfaces; affine surfaces; projective surfaces; Enriques-Kodaira classification of surfaces; Kodaira dimension; birational geometry; logarithmic Kodaira dimension Miyanishi, M.: Open Algebraic Surfaces. Amer. Math. Soc. \textbf{12}. CRM Monograph Series, Providence (2001)
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. quotients of toric varieties; actions of subtori; subfans; complete quotient space Świe\ogonek cicka, J.: Quotients of toric varieties by actions of subtori. Colloq. math. 82, No. 1, 105-116 (1999)
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. fundamental domain; isomorphism classes; integral quadratic forms; reflections; classification of algebraic surfaces of type K3; lattices of compact type; lattices of non-compact type; arithmetic triangle groups Nikulin, V.V.: Surfaces of type K3 with a finite automorphism group and a Picard group of rank three. Trudy Mat. Inst. Steklov 165 (1984); Proc. of the Steklov Institute of Math., Issue 3, 131-155, 1985
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Gromov-Witten invariants; quantum cohomology; toric varieties; symplectic manifolds; moduli spaces of stable curves; cohomology classes Spielberg, H.: Multiple quantum products in toric varieties, Int. J. Math. math. Sci. 31, No. 11, 675-686 (2002)
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. contact structure; homogeneous contact variety of type \(G_2\); Fano variety; classification of five-dimensional algebraic varieties; tangent bundle
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. moduli spaces of curves on toric varieties Halic, M.: Families of toric varieties. Math. Nachr. 261--262, 60--84 (2003)
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. toric ideal; toric Hilbert scheme; codimension 2 toric varieties; multigraded Hilbert function; syzygies; coherence of graded ideal; polynomial ring V. Gasharov and I. Peeva, Deformations of codimension \(2\) toric varieties , Compositio Math. 123 (2000), 225--241.
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. threefold; classification of algebraic varieties; minimal models; Mori theory of extremal rays Miles Reid, Tendencious survey of 3-folds, Algebraic geometry, Bowdoin, 1985 (Brunswick, Maine, 1985) Proc. Sympos. Pure Math., vol. 46, Amer. Math. Soc., Providence, RI, 1987, pp. 333 -- 344.
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. polarized surface; blowing up; ampleness; classification of polarized varieties
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. quantum deformations; conformal quantum field theories; theta functions; non-commutative analogue of abelian varieties; quantization; quantum tori; quantized theta functions Manin, Y. I., Quantized theta-functions, \textit{Progress of theoretical physics. Supplement}, 102, 219-228, (1991)
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. \(D\)-branes; derived categories of sheaves; toric varieties
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. toric varieties; asymptotic formula; distribution of integer points; zeta-function B. Z. Moroz, ''On the integer points of some toric varieties,'' Quart. J. Math. (2), 48, 67--82 (1997).
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. defects of cusp singularities; totally real cubic number field; plurigenera of Hilbert modular varieties; non-rational Hilbert modular threefold; arithmetic genus Grundman, H.G.: Defects of cusp singularities and the classification of Hilbert modular threefolds. Math. Ann.292, 1-12 (1992)
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Calabi-Yau manifolds; moduli spaces of Kähler manifolds; Hilbert schemes; toric varieties; \(D\)-branes; quantum field theory Mohri, K.: Kähler moduli space for a D-brane at orbifold singularities
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. non-commutative crepant resolution; dimer model; quiver with potential; Gorenstein toric singularity; mutations of dimer models
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. non-normal abelian covers; \(S_2\) varieties; surfaces of general type; moduli spaces Alexeev, Valery; Pardini, Rita, Non-normal abelian covers, Compos. math., 148, 1051-1084, (2012), also available at
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Cayley method; determinant; elimination theory; discriminants; resultants; Chow varieties; toric varieties; Newton polytopes; real algebraic geometry; hyperdeterminants; discriminant as the determinant of a Koszul complex I.M.~Gel'fand, M.M.~Kapranov and A.V.~Zelevinsky, \textit{Discriminants, resultants and multidimensional determinants}, Birkhäuser, Boston, 1994.
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. toric varieties; polytopes; Ehrhart theory; spectrum of polytopes; spectrum of regular functions; Laurent polynomial; Newton polytope; Newton spectrum
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. lattice ideals; minimal system of generators; toric varieties Ignacio Ojeda Martínez de Castilla, Examples of generic lattice ideals of codimension 3, Comm. Algebra 36 (2008), no. 1, 279 -- 287.
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. deformations of toric singularities; Hochschild cohomology; Poisson cohomology; toric varieties
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Grothendieck ring of varieties; motivic measure; \(\ell\)-adic Galois representations; weight filtration; zeta function; non-isogenous elliptic curves Naumann N.: Algebraic independence in the Grothendieck ring of varieties. Trans. Am. Math. Soc. 359(4), 1653--1683 (2007)
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Gröbner basis; degenerations of Schubert varieties; flag variety; toric varieties; determinantal varieties Lakshmibai, V., Degenerations of flag varieties to toric varieties.C. R. Acad. Sci. Paris Sér. I Math., 321 (1995), 1229--1234.
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. toric variety; Picard number; dominating family of curves; Euler-Jaczewski sequence; classification of projective bundle; morphism Occhetta, G; Wiśniewski, JA, On Euler-jaczewski sequence and remmert-Van de ven problem for toric varieties, Math. Z., 241, 35-44, (2002)
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. factorization of birational correspondence; blow-downs; smooth toric varieties; equivariants blows-ups; fans; cobordisms MORELLI (R.) . - The birational geometry of toric varieties , J. Algebr. Geom., t. 5, n^\circ 4, 1996 , p. 751-782. MR 99b:14056 | Zbl 0871.14041
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. toric varieties; rational curves; variety of minimal rational tangents
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. binomial ideal; flow polytope; triangulation; Gröbner basis; moduli space of quiver representations; toric varieties; Birkhoff polytope
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. weak positivity of the direct image sheaves; non-complete varieties; additivity of the log-Kodaira dimensions K. MAEHARA, The weak 1-positivity of direct image sheaves, J. reine un angewante Math., 364(1986), 112-129.
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. ampleness of polarisations; non-embedding of abelian varieties J. N. IYER, Linear systems on abelian varieties of dimenson 2g11, Proc. Am. Math. Soc., 130, no. 4 (2002), pp. 959-962. Zbl0994.14027 MR1873767
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. non-Archimedean uniformization theory of abelian varieties; relative rigid spaces
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. jacobian varieties of complete non-singular curves; Picard varieties
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. higher dimensional varieties free of general type; pluriregular; hypersurfaces; classification; determinantal variety; canonical ring Catanese, F.: Equations of pluriregular varieties of general type. Progr. math. 60, 47-67 (1985)
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Lagrangian spheres; isolated singularities; hyperplane sections; degenerations of algebraic varieties
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. characteristic \(p\); semistability condition; vector spaces over a non-archimedean field; \(p\)-adic period domains; generalized flag varieties; rigid-analytic geometry; stratification of the flag varieties; non-archimedean uniformization theorems of Shimura varieties Michael Rapoport, Period domains over finite and local fields, Algebraic geometry --- Santa Cruz 1995, Proc. Sympos. Pure Math., vol. 62, Amer. Math. Soc., Providence, RI, 1997, pp. 361 -- 381.
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. toric varieties; Shokurov's conjecture; singularities of pairs
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. toric varieties; cone structure; resolution of singularities; fundamental groups; Euler characteristics; cohomology of line bundles; tangent bundle; Serre duality; Betti numbers; Chow groups; cohomology groups W. Fulton, \textit{Introduction to toric varieties}, Annals of Mathematics Studies, Princeton University Press, Princeton U.S.A. (1993).
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. schemes; Witt rings of Grassmann varieties; non-extended symmetric bilinear spaces; line bundle
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. classification of cubic hypersurface; isolated singularities; locally Cohen-Macaulay surface; non-singular model Koelblen , L. Surfaces de \(\mathbb{P}\) 4 Traceés sur une Hypersurface Cubique
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. toric varieties; Newton polyhedrons; the mixed volume; intersection indices; resultant cycles; index of vector fields and holomorphic forms; isolated complete intersection singularities A. I. Esterov, ''Indices of 1-Forms, Intersection Indices, and Newton Polyhedra,'' Mat. Sb. 197(7), 137--160 (2006) [Sb. Math. 197, 1085--1108 (2006)].
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Calabi-Yau condition; toric varieties; mirror symmetry; minimal polytopes; reflexive pairs of polyhedra; string theory Batyrev, V.V., Borisov, L.A.: Mirror duality and string-theoretic Hodge numbers. Invent. Math. \textbf{126}, 183-203 (1996)
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. algebraic cobordism; bivariant and operational theories; operational (equivariant) cobordism; operational equivariant cobordism of toric varieties González, J. L.; Karu, K.: Bivariant algebraic cobordism
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. string theories; connectedness of moduli spaces; Calabi-Yau 3-folds; toric varieties; web Avram, A.C., Kreuzer, M., Mandelberg, M., Skarke, H.: The web of Calabi-Yau hypersurfaces in toric varieties. Nucl. Phys. B \textbf{505}, 625 (1997). hep-th/9703003
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. rings of invariants; invariant quotients; non-projective quotients; open immersions into projective varieties; quiver factorization problems Halic, M.; Stupariu, M. -S.: Rings of invariants for representations of quivers, CR math. Acad. sci. Paris 340, No. 2, 135-140 (2005)
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. varieties of small degree; classification of varieties DOI: 10.1007/BF01456072
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Castelnuovo-Mumford regularity; Buchsbaum scheme; rational normal scroll; local cohomology; varieties of minimal degree; arithmetically Buchsbaum non-Cohen-Macaulay divisors Nagel U. (1999). Arithmetically Buchsbaum divisors on varieties of minimal degree. Trans. Am. Math. Soc. 351: 4381--4409
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Newton polyhedra; invariants of algebraic sets; isoperimetric inequalities; toric varieties
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. invariant subvarieties of torus embeddings; local complete intersections; toric varieties H. Nakajima, Invariant subvarieties of toric varieties which are local complete intersections, Math. Z. 203 (1990), no. 3, 391-413.
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. complete intersections; toric varieties; Newton polyhedra; resolutions of singularities A. G. Khovanskii, ''Newton polyhedra (resolution of singularities),'' in:J. Sov. Math.,27, 2811--2830 (1984).
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. toric varieties; asymptotic formula; distribution of integer points; zeta-function B. Z. Moroz, ''Exercises in analytic arithmetic on an algebraic torus,'' in: Israel Mathematical Conferences Proceedings (F. Hirzebruch Festband), 9 (1996), pp. 347--359.
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. rings of differential operators; non-holonomic \(\mathcal D\)-modules; irreducible smooth projective varieties; critical modules Coutinho, S. C.: Nonholonomic simple D-modules over projective varieties, Arch. math. (Basel) 86, No. 6, 540-545 (2006)
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. affinoid varieties; number of isolated points; non-Archimedean valuation; ring of strictly convergent power series; subanalytic sets Lipshitz, L.: Isolated points on fibers of affinoid varieties. J. reine angew. Math.384, 208--220 (1988)
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Cox ring; systems of polynomial equations; toric varieties; multiplication matrix
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. local cohomology; free resolution; syzygies; graded module over polynomial ring; Bertini classification; Linear parts of resolutions; Castelnuovo regularity; rings of minimal multiplicity; projective varieties of minimal degree \beginbarticle \bauthor\binitsD. \bsnmEisenbud and \bauthor\binitsS. \bsnmGoto, \batitleLinear free resolutions and minimal multiplicity, \bjtitleJ. Algebra \bvolume88 (\byear1984), page 89-\blpage133. \endbarticle \OrigBibText David Eisenbud and Shiro Goto, Linear free resolutions and minimal multiplicity . J. Algebra 88 (1984), 89-133. \endOrigBibText \bptokstructpyb \endbibitem
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. K-theory; non-linear sheaves; projective toric varieties Hüttemann T.: K-theory of non-linear projective toric varieties. Forum Math. 21(1), 67--100 (2009)
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. enumerative geometry; amoebas of algebraic varieties; toric varieties A. Gathmann, \textit{Tropical algebraic geometry}, Jahresber. Deutsch. Math.-Verein. 108 (2006), no. 1, 3--32.
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. quantization; symplectic geometry; toric varieties; representation theory; Hamiltonian actions; moment maps; Duistermaat-Hekmann measures; combinatorial invariants; Riemann-Roch number; dimension of multiplicity Guillemin, V.: Moment Maps and Combinatorial Invariants of Hamiltonian \(T^n\)-Spaces, vol. 122 of Progress in Mathematics. Birkhäuser Boston, Boston (1994)
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Hartshorne conjecture; classification of 3-folds; extremal ray; Fano varieties Mori, S.: Hartshorne conjecture and extremal ray. Sugaku Expositions0, 15-37 (1988)
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. projection of polytopes; polytopal subdivisions; chambers; coherent strings; quotients of toric varieties
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. non-projectivity of varieties; log minimal model program; existence of rational curves V. V. Shokurov, ''Letters of a Bi-rationalist. I: A Projectivity Criterion,'' in Birational Algebraic Geometry (Am. Math. Soc., Providence, RI, 1997), Contemp. Math. 207, pp. 143--152.
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. \(\mathbb{Q}\)-factorial complete toric varieties; Cartier and Weil divisors; pure modules; free and torsion subgroups; localization; completion of fans
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. algebraic moduli problems; polarized variety; quotients; toric varieties; non-quasi-projective moduli spaces Kollár, János, Non-quasi-projective moduli spaces, Annals of Mathematics. Second Series, 164, 1077-1096, (2006)
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. ampleness; Gorenstein toric varieties; toric Mori theory; length of extremal rays Laterveer, R., Linear systems on toric varieties, Tôhoku Mathemaical Journal, 2, 451-458, (1996)
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. representations of quivers; semisimple representations; dimension vectors; complete intersections; affine toric varieties DOI: 10.1007/s10468-012-9348-0
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. height of points; Laurent polynomials; mixed integrals; toric varieties; \(u\)-resultants
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. class of complete intersection toric varieties; free complete intersection Margherita Barile, Marcel Morales, and Apostolos Thoma, On free complete intersections, Geometric and combinatorial aspects of commutative algebra (Messina, 1999) Lecture Notes in Pure and Appl. Math., vol. 217, Dekker, New York, 2001, pp. 1 -- 9.
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. sheaves of differential operators; toric varieties; \(D\)-modules Thomsen, J. F., D-affinity and toric varieties, Bull. Lond. Math. Soc., 29, 3, 317-321, (1997)
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. geometric quotients of a fan; projective toric varieties; Stanley-Reisner ring; automorphism group Cox, DA, Erratum to ``the homogeneous coordinate ring of a toric variety'', J. Algebraic Geom., 23, 393-398, (2014)
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. distribution of integer points; survey; toric varieties; asymptotic formula; \(L\)-functions B. Z. Moroz, ''On the distribution of integer points in the real locus of an affine toric variety,'' Lect. Notes Math., 237, 283--291 (1997).
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. \(K3\) surfaces; non-symplectic group actions; Calabi-Yau threefolds of Borcea-Voisin type; finite Fermat quotients; Calabi-Yau varieties of CM type; Galois representations; modularity; automorphy; arithmetic mirror symmetry
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. unimodal complete intersection; spectrum of a hypersurface singularity; resolution of curves; surface singularities; toric varieties
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. classification of non-general type surfaces; computational aspects in algebraic geometry; degree bound; symbolic computation; adjunction Decker, Wolfram; Schreyer, Frank-Olaf, Varieties, Gröbner Bases and Algebraic Curves, (2011)
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. singular Hermitian metrics; pseudo-effective vector bundles; tangent bundles; rationally connected varieties; abelian varieties; MRC fibrations; numerically flat vector bundles; splitting of vector bundles; classification of surfaces
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. mirror variety; mirror symmetry; generalized hypergeometric series; Calabi-Yau complete intersections; toric varieties; quantum variation of Hodge structures; differential system; Calabi-Yau compactification V. Batyrev and D. Van Straten, Generalized hypergeometric functions and rational curves on Calabi-Yau complete intersections in toric varieties, Universität Essen report, in preparation
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. action of maximal torus on the Grassmann variety; Chow quotient; toric varieties; moduli space M.M. Kapranov, \(Chow Quotients of Grassmannians. I\), ed. by I.M. Gel' fand Seminar. Advances in Soviet Mathematics, vol. 16 (American Mathematical Society, Providence, RI, 1993), pp. 29-110
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. toric varieties; Manin's conjecture; distribution of rational points; all the heights
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