English

The polyhedral Hodge number h^21 and vanishing of obstructions

Algebraic Geometry 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/9904034,
  title  = {The polyhedral Hodge number h^21 and vanishing of obstructions},
  author = {Klaus Altmann and Duco van Straten},
  journal= {arXiv preprint arXiv:math/9904034},
  year   = {2007}
}

Comments

21 pages, written in LaTeX 2e