English

On the Hodge structure of degenerating hypersurfaces in toric varieties

Algebraic Geometry 2007-05-23 v1

Abstract

We introduce an algebraic method for describing the Hodge filtration of degenerating hypersurfaces in projective toric varieties. For this purpose, we show some fundamental properties of logarithmic differential forms on proper equivariant morphisms of toric varieties.

Keywords

Cite

@article{arxiv.math/0503245,
  title  = {On the Hodge structure of degenerating hypersurfaces in toric varieties},
  author = {Atsushi Ikeda},
  journal= {arXiv preprint arXiv:math/0503245},
  year   = {2007}
}

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28 pages