The polyhedral Hodge number h^21 and vanishing of obstructions

Details The polyhedral Hodge number h^21 and vanishing of obstructions The polyhedral Hodge number h^21 and vanishing of obstructions

1999-04-08

arxiv.org/abs/math/9904034v1

Mathematics

Algebraic Geometry

21 pages, written in LaTeX 2e

Scientific paper

We prove a vanishing theorem for the Hodge number h^21 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^21 implies that these deformations are unobstructed.

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