Variation of Hodge Structure and Hodge modules
Mohammad Reza Rahmati
TL;DR
This survey explores the relationship between polarized variations of Hodge structure and Hodge modules, focusing on extending PVMHS over singularities and their connection to mixed Hodge modules.
Contribution
It provides an expository overview of how PVHS relates to Hodge modules and discusses extensions over singularities, clarifying their interplay.
Findings
Reviewed the extension of PVMHS over singularities
Explored the relation between PVHS and mixed Hodge modules
Clarified the formalism connecting Hodge structures and modules
Abstract
This text is an expository survey on the interplay between polarized variation of Hodge structure (PVHS) and the formalism of Hodge modules. We specifically review the extensions of a PVMHS over their singularities and its relation to mixed Hodge modules.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology