The polyhedral Hodge number \(h^{2,1}\) and vanishing of obstructions

DOI10.2748/tmj/1178207756zbMath1017.52005arXivmath/9904034OpenAlexW2078452178MaRDI QIDQ5932149

Duco van Straten, Klaus Altmann

Publication date: 6 November 2001

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9904034

zbMATH Keywords

deformation theoryHodge numbers of projective toric varietiestoric Gorenstein singularities

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Deformations and infinitesimal methods in commutative ring theory (13D10)

Related Items (2)

Smoothing of quiver varieties ⋮ Cohomology of rational forms and a vanishing theorem on toric varieties

Cites Work

• André-Quillen cohomology of monoid algebras
• Strong exceptional sequences provided by quivers
• The versal deformation of an isolated toric Gorenstein singularity
• The structure of the polytope algebra
• Mirror symmetry and toric degenerations of partial flag manifolds
• Introduction to Toric Varieties. (AM-131)
• THE GEOMETRY OF TORIC VARIETIES
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
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