6533b7d7fe1ef96bd1267cc4
RESEARCH PRODUCT
The polyhedral Hodge number $h^{2,1}$ and vanishing of obstructions
Klaus AltmannDuco Van Stratensubject
AlgebraPure mathematicsClass (set theory)Mathematics::Algebraic GeometrySingularityMathematics::Commutative AlgebraGeneral MathematicsDeformation theoryPolytope52B2014M25Mathematics::Symplectic GeometryMathematicsdescription
We prove a vanishing theorem for the Hodge number $h^{2,1}$ of projective toric varieties provided by a certain class of polytopes. We explain how this Hodge number also gives information about the deformation theory of the toric Gorenstein singularity derived from the same polytope. In particular, the vanishing theorem for $h^{2,1}$ implies that these deformations are unobstructed.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2000-01-01 | Tohoku Mathematical Journal |