The cohomology of a variation of polarized Hodge structures over a quasi-compact K\"ahler manifold
Juergen Jost, Yihu Yang, Kang Zuo
TL;DR
This paper systematically studies the contributions at infinity to the cohomology of polarized Hodge structures over quasicompact Kähler manifolds, establishing several isomorphisms between different cohomologies.
Contribution
It provides a comprehensive analysis of the contributions at infinity and introduces new isomorphisms between various cohomology theories in this context.
Findings
Identifies contributions at infinity for cohomology of polarized Hodge structures
Establishes isomorphisms between different cohomology groups
Enhances understanding of cohomological behavior over quasicompact Kähler manifolds
Abstract
A systematic study of the contributions at infinity for the cohomology of variations of polarized Hodge structures over quasicompact K\"ahler manifolds. Several isomorphisms between different cohomologies given.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Advanced Algebra and Geometry