On the classification of smooth projective toric varieties
Reads0
Chats0
About:
This article is published in Tohoku Mathematical Journal.The article was published on 1991-12-01 and is currently open access. It has received 159 citations till now. The article focuses on the topics: Toric variety.read more
Citations
More filters
Journal ArticleDOI
Summing the instantons: Quantum cohomology and mirror symmetry in toric varieties
TL;DR: In this article, the authors use the gauged linear sigma model introduced by Witten to calculate instanton expansions for correlation functions in topological sigma models with target space a toric variety V or a Calabi-Yau hypersurface M ⊂ V.
Journal ArticleDOI
Summing the Instantons: Quantum Cohomology and Mirror Symmetry in Toric Varieties
TL;DR: In this article, the authors use the gauged linear sigma model introduced by Witten to calculate instanton expansions for correlation functions in topological sigma models with target space a toric variety $V$ or a Calabi-Yau hypersurface $M \subset V$.
Journal ArticleDOI
On the Hodge structure of projective hypersurfaces in toric varieties
Victor V. Batyrev,David A. Cox +1 more
TL;DR: In this paper, Griffiths, Dolgachev and Steenbrink showed that the graded pieces of the Hodge filtration on simplicial toric varieties are naturally isomorphic to certain graded pieces in the homogeneous coordinate ring.
Journal ArticleDOI
Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori
Posted Content
Quantum Cohomology Rings of Toric Manifolds
TL;DR: In this paper, the quantum cohomology ring of an arbitrary projective toric manifold associated with a fan was computed for K\"ahler manifolds, where the multiplicative structure of the quantum ring depends on the choice of an element $avarphi$ in the ordinary cohomological group.
References
More filters
Journal ArticleDOI
The geometry of toric varieties
TL;DR: Affine toric varieties have been studied in this article, where the definition of an affine Toric variety and its properties have been discussed, including cones, lattices, and semigroups.
Journal ArticleDOI
Linear gale transforms and gelfand-kapranov-zelevinskij decompositions
Tadao Oda,Hye Sook Park +1 more
Journal ArticleDOI
On the existence of certain smooth toric varieties
TL;DR: It is proved that the combinatorial types of those cone systems which correspond to complete smooth toric varieties are more restricted than for complete toric categories, and that the torics corresponding to essentially all types of cyclic polytopes possess singularities.