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On the Hodge structure of degenerating hypersurfaces in toric varieties

Atsushi Ikeda
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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.

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Atsushi Ikeda. 2005-03-13. On the Hodge structure of degenerating hypersurfaces in toric varieties. https://arxiv.org/abs/math/0503245

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