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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. projective toric variety; degrees of defining equations; syzygies of toric varieties Briales, E., Campillo, A., Pisón, P.: On the equations defining toric projective varieties. In: Geometric and Combinatorial Aspects of Commutative Algebra (Messina, 1999). Volume 217 of Lecture Notes in Pure and Applied Mathematics, pp. 57-66. Dekker, New York (2001)
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. higher-dimensional algebraic varieties; birational geometry; birational classification theory; minimal model program; Mori theory; cohomological vanishing theorems; cohomological nonvanishing theorems; Cartier divisors; morphisms from curves; varieties with many rational curves; rational quotient of a variety; cone theorem; contraction theorem; extremal rays Debarre O., Higher-dimensional algebraic geometry, Universitext, Springer-Verlag, New York 2001.
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. noncommutative algebraic geometry; elliptic curves; quotients of Stein varieties; category of coherent sheaves; Rieffel's theorem; non-Archimedean quantum tori Yan Soibelman and Vadim Vologodsky, Noncommutative compactifications and elliptic curves, Int. Math. Res. Not. 28 (2003), 1549 -- 1569.
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. adjunction classification of polarized algebra varieties; Del Pezzo variety; 5-folds BELTRAMETTI M. C. and SOMMESE A. J., ''On the adjunction theoretic classification of polarized varieties'', J. Reine Angew. Math. 427 (1992), 157--192.
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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. \(L\)-classes of hypersurfaces; Todd classes of toric varieties; homotopy stratified spaces Cappell, Sylvain E.; Shaneson, Julius L.: The mapping cone and cylinder of a stratified map. Ann. of math. Stud. 138, 58-66 (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. quotient varieties; quotient singularities; resolution of singularities; toric varieties I. Nakamura, \textit{Hilbert schemes of abelian group orbits}, J. Algebraic Geom. \textbf{10} (2001), no. 4, 757-779.
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Bibliography; birational equivalence; classification of higher-dimensional varieties; Kodaira dimension; existence of good minimal models; extremal rays S. Mori , Classification of Higher Dimensional Varieties , In: '' Algebraic geometry Bowdoin 1985 '', Proc. Symp. Pure Math. 46 (1987), 269-332.
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. projectively toric varieties; equations of a toric variety
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. set of isomorphism classes of g-dimensional Abelian varieties is; finite; non-Archimedean places Zarhin, Yu. G., \textit{A finiteness theorem for unpolarized abelian varieties over number fields with prescribed places of bad reduction}, Invent. Math., 79, 309-321, (1985)
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. algebraic geometry; Gromov-Witten invariants; toric varieties; moduli spaces of stable (quasi) maps
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Kodaira energy; classification of polarized varieties; Mori theory; growth of the number of rational points ------,On Kodaira energy and classification of polarized varieties (in Japanese), Sugaku45 (1993), 244--255.
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. rational points of bounded height; Fano variety; toric varieties V.\ V. Batyrev and Y. Tschinkel, Rational points on some Fano cubic bundles, C. R. Acad. Sci. Paris Sér. I Math. 323 (1996), no. 1, 41-46.
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. pseudonorm project; birational classification; varieties of general type; pluricanonical forms; log canonical threshold; log canonical multiplicity
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. extremal rays; toric varieties; resolution of a normal surface; minimal model Reid, M., Decomposition of toric morphisms, (Arithmetic and geometry, vol. II, Prog. math., vol. 36, (1983), Birkhäuser Boston Boston, MA), 395-418
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. characteristic \(p\); conormal cones; classification of non-reflexive curves of low degree DOI: 10.1007/BF02568386
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. totally non-negative Grassmannians; amalgamation of positroid varieties; M-curves; KP hierarchy; real soliton and finite-gap solutions; positroid cells; planar bicolored networks in the disk; moves and reductions; Baker-Akhiezer function
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. finiteness of étale morphism; Jacobian conjecture; non-complete algebraic varieties; affine surfaces Miyanishi, M., Étale endomorphisms of algebraic varieties, Osaka J. Math., 22, 2, 345-364, (1985)
| 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 supersingular abelian varieties; non-principal genus; flag type quotients; polarized flag type quotient K. Z.LIand F.OORT,\textit{Moduli of Supersingular Abelian Varieties}, Lecture Notes in Mathematics, vol. 1680, Springer-Verlag, Berlin, 1998.MR1611305
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. \({\mathcal A}\)-resultant; sparse systems of polynomials equations; Gröbner bases of toric varieties; Cayley-Koszul complexes Sturmfels B, \textit{Sparse elimination theory, Computational Algebraic Geometry and Commutative Algebra (Cortona, 1991)}, Sympos. Math., XXXIV, Cambridge University Press, Cambridge, 1993, 264-298.
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. toric varieties; hard Lefschetz properties; spectrum of regular functions and polytopes; mirror theorem; orbifold cohomology; distribution of spectral numbers
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. rational surfaces; fine classification of non-special rational surfaces; quotient of a rational variety F.Catanese - K.Hulek,Rational surfaces in \(\mathbb{P}\)4 containing plane curves, to appear in Ann. Mat. Pura Appl.
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. varieties of general type; vanishing theorems; volume of a divisor; restricted volume; canonical divisor; multiplier ideals; klt pairs; non-klt locus; fujita's conjecture; augmented base locus O. Debarre, Systèmes pluricanoniques sur les variétés de type général , Astérisque 311 (2008), 119--140., Seminaire Bourbaki 2006/2007, exp.no. 970.
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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. principally polarized abelian variety; theta function; Jacobian varieties of hyperelliptic curves and non-hyperelliptic curves; module over of ring of differential operators Cho K., Nakayashiki A., Differential structure of Abelian functions, Internat. J. Math., 2008, 19(2), 145--171
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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. birational geometry of linear algebraic groups; Galois cohomology; Picard group; Brauer group; birational properties of algebraic tori; projective toric varieties; invariants of finite transformation groups Voskresenskiĭ, Galois lattices and algebraic groups, J. Math. Sci. New York 106 (4) pp 3098-- (2001)
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. height zeta function; twisted product; toric varieties; flag varieties; rational points of bounded height DOI: 10.4310/MRL.1997.v4.n2.a8
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. toric varieties; freeness of cohomology groups; McKay correspondence; three-dimensional abelian quotient singularities
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. module varieties; directing modules; tame algebras; toric varieties; isomorphism classes of finite-dimensional left modules; orbits; Cohen-Macaulay varieties; quiver representations Bobiński, G.; Zwara, G., Normality of orbit closures for directing modules over tame algebras, J. algebra, 298, 1, 120-133, (2006)
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. mirror pairs; conformal quantum field theory; superstring models; Calabi-Yau manifolds; Calabi-Yau threefolds; bosonic sigma-model; Gepner conjecture; Yukawa couplings; variation of Hodge structures; Picard-Fuchs equations; toric varieties; Floer cohomology Voisin, C. : Symétrie miroir, Panoramas et Synthèses , n^\circ 2, 1996, Societé Mathematique de France.
| 0 |
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, D., The homogeneous coordinate ring of a toric variety, \textit{J. Algebra Geom.}, 4, 1, 17-50, (1995)
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. sum of four monomials; Delsarte surface; toric varieties; geometric genus; number of lattice points
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. toric varieties; Fano varieties; equivariant geometry; automorphisms of Fano varieties; minimal model program
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. distributive lattices; Hibi toric varieties; Schubert varieties; minuscule homogeneous varieties; singular loci of Hibi varieties Lakshmibai, V. and Mukherjee, H., Singular loci of {H}ibi toric varieties, Journal of the Ramanujan Mathematical Society, 26, 1, 1-29, (2011)
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. algebraic cycles; Chow groups; motives; Bloch's conjecture; Bloch-Beilinson filtration; hyperkähler varieties; \(K3\) surfaces; Hilbert schemes; non-symplectic involution; multiplicative Chow-Künneth decomposition; ``spread'' of algebraic cycles in a family
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. 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 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Cohen-Macaulay rings; CM varieties; \(\Delta\)-genus; 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. Bertini's images; Bertini's series; 3-dimensional varieties; 4-dimensional varieties; classification of varieties; degenerate dual variety
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. normal varieties; singularities of pairs; positivity; toric varieties Urbinati, S., Divisorial models of normal varieties, \textit{Proc. Edinburgh Math. Soc.}, 60, 1-12, (2017)
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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. \(f\)-vectors of simplicial polytopes; toric varieties Jorge, H. A.: Smith-type inequalities for a polytope with a solvable group of symmetries. Adv. math 152, 134-158 (2000)
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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. biregular classification of algebraic varieties; complexity of group action Timashev, DA, Classification of \(G\)-varieties of complexity 1, Izv. Math., 61, 363-397, (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. non-finiteness of fundamental group; anti-canonical divisor; classification of surfaces D.-Q. Zhang, Normal algebraic surfaces of anti-Kodaira dimension one or two, Intern. J. Math. 6 (1995), 329--336.
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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. Gaussian maps; classification of projective varieties; characteristic \(p\) Ballico, E., and C. Ciliberto. 1990--1993. On gaussian maps for projective varieties. In Proceedings of geometry of complex projective varieties, ed. A. Lanteri, M. Palleschi, D.C. Struppa, 35--54. Mediterranean Press.
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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 algebraic varieties
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Kodaira dimension. Bibliography; classification of n-dimensional algebraic varieties; extremal rays; minimal model problem
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. rigid isotopies; classification of non-amphicheiral nonsingular surfaces
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. adjunction; classification of projective varieties BELTRAMETTI M.C., FANIA M.L. and SOMMESE A.J., ''On the projective theoretic classification of projective varieties'', Math. Ann. 290 (1991), 31--62.
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. non-archimedean valued fields; analytic functions; \(p\)-adic cohomology; Weil conjectures; \(p\)-adic analytic varieties; action of Frobenius; rigid cohomology; \(p\)-adic analytic functions; Morita's \(p\)-adic gamma function
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. classification of the non-singular surfaces of degree 4; Torelli theorem; homological type; isotopic classification V.M. Kharlamov, On the classification of nonsingular surfaces of degree 4 in \({\mathbb{R}}P^3\) with respect to rigid isotopies, Funktsional. Anal. i Prilozhen., 18 (1984), 49--56
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. equivariant cohomology; localization theorem; equivariantly formal; arrangement of linear subspaces; toric varieties; Schubert varieties; Springer fibers M. Goresky, R. MacPherson, On the spectrum of the equivariant cohomology ring, Canad. J. Math. 62 (2010), 262--283.
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Hodge groups; Hodge cycles; non-simple abelian varieties; \(\ell -adic\) Tate modules of abelian varieties over \(\ell \)-adic local fields Takashi Ichikawa, ''Algebraic groups associated with abelian varieties'', Math. Ann.289 (1991) no. 1, p. 133-142 |
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. varieties of codimension 2; adjunction map; irregularity; sectional genus; non-special surfaces [IM] Idá M., Mezzetti E.: Smooth non-special surfaces ofP 4. Man. Math.68, 57--67 (1990)
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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. Clifford algebras; Euler characteristics; Quadratic fibrations; mirror symmetry; string theory; Calabi-Yau manifolds; nonlinear sigma models; Calabi-Yau manifolds; superstring theory; mirror symmetric pair; symplectic; Fukaya category; bounded derived category; Homological Projective Duality; complete intersection of quadrics; Lefshetz decomposition; non-commutative algebraic variety; Clifford non-commutative varieties; Hodge numbers; Batyrev's stringy Hodge numbers; Clifford-stringy Euler characteristics
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. toric varieties; Nash blowups; resolution of singularities Atanasov, A.; Lopez, C.; Perry, A.; Proudfoot, N.; Thaddeus, M., Resolving toric varieties with Nash blow-ups, \textit{Exp. Math.}, 20, 3, 288-303, (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. toric varieties; codes over finite fields; varieties of minimal degree Umana, V. Gauthier; Velasco, M.: Dual toric codes and polytopes of degree one. SIAM J. Discrete math. 29, No. 1, 683-692 (2015)
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. almost versal families of modules; finite representation type; finite dimensional algebras; Cohen-Macaulay rings of Krull dimension 1; non-commutative Cohen-Macaulay algebras; projective varieties; tame algebras; curve singularities Drozd, Yu. and Greuel, G.-M.: Semi-continuity for Cohen--Macaulay modules, Math. Ann. 306 (1996), 371--389.
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. characteristic classes of singular varieties; Hirzebruch class; equivariant cohomology; toric varieties; Schubert varieties A. Weber, \textit{Equivariant Hirzebruch class for singular varieties}, Selecta Math. (N.S.) \textbf{22} (2016), no. 3, 1413-1454.
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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-rigid families of K3 surfaces; variation of Hodge structure; finiteness theorem of Arakelov type M. H. SAITO AND S. ZUCKER, Classification of non-rigid families of K3 surfaces and a finitenes theorem of Arakelov-type, Math. Ann. 289 (1991), 1-31.
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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. Fano toric varieties; Calabi-Yau manifolds; deformations of subvarieties
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. rational points of bounded height; Fano variety; toric varieties; number of rational points; Tamagawa number; Brauer group V.\ V. Batyrev and Y. Tschinkel, Manin's conjecture for toric varieties, J. Algebraic Geom. 7 (1998), no. 1, 15-53.
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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 pairs; mirror symmetry; Calabi-Yau models; enumerative geometry of rational curves; quintic threefold; Gromov-Witten invariants; stable maps; duality theory for toric varieties; quantum differential equations; Kähler cones; Mori cones; variations of Hodge structures; Picard-Fuchs equations; unipotent monodromy; Gauss-Manin connection; equivariant cohomology; terminal singularieties D.A. Cox and S. Katz, \textit{Mathematical surveys and monographs. Vol. 68: Mirror symmetry and algebraic geometry}, AMS, New York U.S.A. (1999).
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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. resolution of singularities; affine toric 3-varieties; dual cone; lattice cone; fan; quotient singularities
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. special values of zeta functions; generalized Dedekind sums; invariants of toric varieties; Todd class Garoufalidis, Values of zeta functions at negative integers, Dedekind sums and toric geometry, J. Amer. Math. Soc. 14 (1) pp 1-- (2001)
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. moduli of pairs; Fano varieties; cubic surfaces; geometric invariant theory; classification of singularities
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. higher direct images of dualizing sheaves; degeneration; surjective morphism; Hodge theory; vanishing theorem; classification theory of higher dimensional varieties J. Kollár, Higher direct images of dualizing sheaves. I, Ann. of Math. (2) 123 (1986), no. 1, 11-42.
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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. real projective varieties; degree of non-roughness; stability; semi- algebraic stratification
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Mori's minimal model program; classification of projective n-folds; numerical positivity; canonical bundle; nef; extremal ray; terminal singularities; flips; vanishing; base-point freeness; rationality; harmonic maps; variations of Hodge structures; complete intersections; general type; terminal varieties; canonical singularities; extremal neighborhoods Clemens, H.; Kollár, J., Higher-dimensional complex geometry, Astérisque, 166, (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. rationality; classification of toroidal Fano varieties; toroidal del Pezzo variety; Grassmannians; p\(\equiv 1(mod\,q)\) Voskresenskiĭ, V. E.; Klyachko, A. A.: Toroidal Fano varieties and root systems. Math. USSR izv. 24, 221-244 (1984)
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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. Mori theory; minimal model program; classification of varieties; Fano 3-folds; birational geometry
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. analytic moduli problems; deformation of complex structures; Kodaira-Spencer map; Kuranishi spaces; period mappings; Hodge theory; mixed Hodge structures; Jacobian varieties; Torelli's theorem; theta functions; non-abelian conformal field theory Shimizu, Y.; Ueno, K., Advances in moduli theory, (2002), AMS
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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. finite ground field; classification of isogeny classes; Abelian varieties
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Pfaffian; Calabi-Yau varieties; mirror symmetry; quantum cohomology; Calabi-Yau threefold; non-complete intersection; mirror family; maximal unipotent monodromy; Picard-Fuchs operator; instanton number; complete intersections; toric manifolds E.N. Tjøtta, \textit{Quantum cohomology of a Pfaffian Calabi-Yau variety: verifying mirror symmetry predictions}, math/9906119.
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. embedding smooth toric varieties; complete intersection; zero locus of finitely many homogeneous monomial equations
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. commutative algebra; algebraic combinatorics; convex polytopes; Cohen- Macaulay rings; algebraic geometry of toric varieties L. J.Billera, Polyhedral theory and commutative algebra. In: Mathematical Programming (A. Bachem, M. Gr?tschel, B. Korte, Ed.), Berlin-Heidelberg, 57-77 (1983).
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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. first order infinitesimal deformations of affine toric varieties; threefold Klaus Altmann, Computation of the vector space \?\textonesuperior for affine toric varieties, J. Pure Appl. Algebra 95 (1994), no. 3, 239 -- 259.
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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. cohomological classification of Kähler threefold; Del Pezzo surfaces; Fano varieties; linear system T. Fujita, On the structure of polarized manifolds with total deficiency one. III, J. Math. Soc. Japan 36 (1984), no. 1, 75-89.
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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. torus embeddings; convex figures in real affine spaces; complex analytic spaces; holomorphic maps; birational geometry; subdivisions of fans; Integral convex polytopes; toric projective varieties; holomorphic differential forms T. Oda, \textit{Convex Bodies and Algebraic Geometry. An Introduction to the} \textit{Theory of Toric Varieties.}Translated from the Japanese. Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], 15. Springer-Verlag, Berlin, 1988.Zbl 0628.52002 MR 0922894
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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. finitely many non-isomorphic endomorphism rings of d-dimensional abelian varieties; hyperelliptic curves; generalized Weil-Taniyama conjecture; abelian varieties with real multiplication J.-F. Mestre, Courbes hyperelliptiques à multiplications réelles , Séminaire de Théorie des Nombres, 1987-1988 (Talence, 1987-1988), Univ. Bordeaux I, Talence, 1988, Exp. No. 34, 6.
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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. spinor variety; linear sections; Chow motives; birational transformations; classification of algebraic varieties; Hilbert schemes
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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. biholomorphic classification of ruled non-rational smooth complex projective surfaces; hyperplane section Livorni, E. L., \textit{classification of algebraic surfaces with sectional genus less than or equal six. III: ruled surfaces with dim} {\(\phi\)}\_{}\{kx\(###\)L\}, Math. Scand., 59, 9-29, (1986)
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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. birational maps; toric varieties; toroidal embeddings; toroidal varieties; weak factorization conjecture; resolution of singularities; birational cobordisms Włodarczyk, J., Toroidal varieties and the weak factorization theorem, Invent. Math., 154, 2, 223-331, (2003)
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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. moduli of rational curves; Mori dream spaces; toric varieties; weighted projective planes; symbolic Rees algebras; elementary transformations Castravet, Ana-Maria; Tevelev, Jenia, \(\overline{M}_{0, n}\) is not a Mori dream space, Duke Math. J., 164, 8, 1641-1667, (2015)
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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. Tate conjecture; Hodge conjecture; Beilinson-Bloch-Deligne conjectures; special values of L-functions; Shimura varieties; Baily-Borel-Satake compactification; motivic decomposition; intersection cohomology; non-CM abelian varieties; evaluation of height pairings
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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. automorphism groups of quasi-affine varieties; quasi-affine spherical varieties; root subgroups; quasi-affine 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. projectivity of toric varieties; convex polytopes; Picard group; Picard number KLEINSCHMIDT (P.) , STURMFELS (B.) . - Smooth toric varieties with small Picard number are projective , Topology, t. 30, n^\circ 2, 1991 , p. 289-299. MR 92a:14030 | Zbl 0739.14032
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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. asymptotics of eigensections; toric varieties; plurisubharmonic function A. Huckleberry and H. Sebert, Asymptotics of eigensections on toric varieties, Appendix by Daniel Barlet, arXiv:1010.3681v1.
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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. meet-semilattice; resolution of singularities; building set; blowup; arrangement models; toric varieties Feichtner, E. M., \& Kozlov, D. N. (2004). Incidence combinatorics of resolutions. Selecta Mathematica (N.S.), 10(1), 37--60.
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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. singularities of the Bergman kernel; pseudoconvex domains of finite type; Newton polyhedra; Szegö kernel; Laplace integral; asymptotic expansion; Fourier analysis; toric varieties; toric resolutions Kamimoto J. Newton polyhedra and the Bergman kernel. Math Z, 246: 405--440 (2004)
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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. finitely generated modules; free resolutions; cohomology of a complex of locally free sheaves; cohomology of a four-term complexes; locally free sheaves; normal toric varieties; derived categories; consistent dimer model algebras; Cox ring; Cox irrelevant ideal; finitely generated modules; free resolutions; cohomology of a complex of locally free sheaves; cohomology of a four-term complexes; locally free sheaves; normal toric varieties; Macaulay2, circuits in complete graphs A. Craw and A. Quintero Vélez, Cohomology of wheels on toric varieties, Hokkaido Math. J., to appear.
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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. systems of multivariate polynomial equations; Bernstein's Theorem; Kushnirenko's Theorem; A-discriminant; resultant; mixed subdivision; mixed volume; toric varieties; amoeba theory; polyhedral homotopy. J.M. Rojas, Why polyhedra matter in non-linear equation solving, in Proceedings of the Conference on Algebraic Geometry and Geometric Modelling, Vilnius, Lithuania, 29 July--2 August 2002. Contemp. Math., vol. 334 (AMS, Providence, 2003), pp. 293--320.
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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-geometric code; finite fields; toric and cyclic codes; non-split algebraic tori; toric varieties; del Pezzo surfaces; elliptic curves
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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 geometric; local heights; Berkovich spaces; Chambert-Loir measure; heights of varieties over finitely generated fields
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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. sheaf of non-commutative noetherian algebras; sheaf of algebraic differential operators; generalized flag varieties Hodges T J, Smith S P. Sheaves of non-commutative algebras and the Beilinson-Bernstein equivalence of categories. Proc Amer Math Soc, 1985, 93: 379--386
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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 types of complete fans of cones; Betti numbers of smooth complete toric varieties Gretenkort J., Kleinschmidt P., Sturmfels B.: On the existence of certain smooth toric varieties. Discret. Comput. Geom. 5, 255--262 (1990)
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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-singular curves; gap sequences; toric varieties; trigonal curves Komeda, J, Existence of the primitive weiestrass gap sequences on curve of genus 9, Boll. Soc. Brasil. Math., 30, 125-137, (1999)
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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. \(p\)-adic \(L\)-functions; \(p\)-adic heights; global Zeta-module of \(p\)-adic \(L\)-functions; \(p\)-adic Birch and Swinnerton-Dyer formulas; Iwasawa theory of abelian varieties; good non-ordinary reduction; tower of local points; splitting of the Hodge filtration; lower bound; Selmer groups
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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. effectivity; \(l\)-torsion points; non CM elliptic curve; Galois group; field of rationality; periods of abelian varieties; Faltings height; minimal isogeny; Kummer theory Masser, D.; Wüstholz, G., Galois properties of division fields of elliptic curves, Bull. Lond. Math. Soc., 25, 247-254, (1993)
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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; number of rational points of bounded height; effective divisors; height zeta function ____, Height zeta functions of toric varieties . J. Math. Sci. 82 ( 1996 ), n^\circ 1 , 3220 - 3239 . MR 1423638 | Zbl 0915.14013
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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. Milnor fiber; non-isolated singularity; bouquet of spheres
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. moduli theory of \(p\)-divisible groups; \(p\)-adic groups; characteristic \(p\); Tate modules; Shimura varieties; rigid-analytic period morphisms; non-archimedean uniformization; quasi-isogenies M. \textsc{Rapoport} and Th. \textsc{Zink}, \textit{Period spaces for}\(p\)\textit{-divisible groups}, Annals of Mathematics Studies, vol.~141, Princeton University Press, Princeton, 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. compactification of \(F\)-theory; elliptic Calabi-Yau threefolds; toric varieties; algorithm P. Candelas, E. Perevalov and G. Rajesh, \textit{Matter from toric geometry}, \textit{Nucl. Phys.}\textbf{B 519} (1998) 225 [hep-th/9707049] [INSPIRE].
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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-rational Hilbert modular threefold; defects of cusp singularities; totally real cubic number field; plurigenera of Hilbert modular varieties; arithmetic genus
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