2005-11-09Buch DOI: 10.18452/2665
The polyhedral Hodge number h2,1
We prove a vanishing theorem for the Hodge number h2,1 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 h2,1 implies that these deformations are unobstructed.
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