The cohomology of a variation of polarized Hodge structures over a quasi-compact Kähler manifold

2003/12/07 by Juergen Jost, Jost, Juergen, Yihu Yang +4
Mathematics · #14F99 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #math.AG #math.AT #math.DG #msc:14F99

paper · pdf · doi:10.48550/arxiv.math/0312145

arxiv created 2003/12/07 · openalex publication_date 2003/12/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A systematic study of the contributions at infinity for the cohomology of variations of polarized Hodge structures over quasicompact Kähler manifolds. Several isomorphisms between different cohomologies given.

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