On the Hodge structure of degenerating hypersurfaces in toric varieties

2005/03/13 by Atsushi Ikeda, Ikeda, Atsushi
Mathematics · #14D06 #14J70 #14M25 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #math.AG #msc:14D06 #msc:14J70 #msc:14M25

paper · pdf · doi:10.48550/arxiv.math/0503245

28 pages

arxiv created 2005/03/13 · openalex publication_date 2005/03/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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