Stringy -functions of canonical toric Fano threefolds and their applications

DOI10.1070/IM8835zbMath1427.14107arXiv1807.00559OpenAlexW2810422556MaRDI QIDQ5234465

Karin Schaller, Victor V. Batyrev

Publication date: 26 September 2019

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.00559

zbMATH Keywords

toric varietyFano variety\(K3\) surfacelattice polytope

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) (K3) surfaces and Enriques surfaces (14J28) (3)-folds (14J30) Fano varieties (14J45)

Related Items

Mirror symmetry for quasi-smooth Calabi-Yau hypersurfaces in weighted projective spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hypergeometric equations and weighted projective spaces
• Uniqueness of the complex structure on Kähler manifolds of certain homotopy types
• Newton polyhedra and the genus of complete intersections
• Classification of reflexive polyhedra in three dimensions
• Stringy Hodge numbers and Virasoro algebra
• Stringy Chern classes of singular toric varieties and their applications
• The stringy Euler number of Calabi-Yau hypersurfaces in toric varieties and the Mavlyutov duality
• Strong McKay correspondence, string-theoretic Hodge numbers and mirror symmetry
• Stringy Hodge numbers of varieties with Gorenstein canonical singularities
• WEIGHT SYSTEMS FOR TORIC CALABI-YAU VARIETIES AND REFLEXIVITY OF NEWTON POLYHEDRA
• Canonical Toric Fano Threefolds
• On the combinatorial classification of toric log del Pezzo surfaces
• THE GEOMETRY OF TORIC VARIETIES
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• Lattice Tetrahedra