73 research outputs found
The polyhedral Hodge number h^21 and vanishing of obstructions
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.Comment: 21 pages, written in LaTeX 2
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