The polyhedral Hodge number h21 and vanishing of obstructions
Abstract
We prove a vanishing theorem for the Hodge number h21 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 h21 implies that these deformations are unobstructed.
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