An overview of Morihiko Saito's theory of mixed Hodge modules
Christian Schnell
TL;DR
This paper provides an overview of Morihiko Saito's theory of mixed Hodge modules, explaining key definitions, main results, proofs, and simple applications in complex geometry.
Contribution
It offers a comprehensive summary of Saito's foundational work on mixed Hodge modules, highlighting its core concepts and significance.
Findings
Clarification of pure and mixed Hodge modules definitions
Presentation of key results and their proofs
Discussion of simple applications of the theory
Abstract
After explaining the definition of pure and mixed Hodge modules on complex manifolds, we describe some of Saito's most important results and their proofs, and then discuss two simple applications of the theory.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Algebraic structures and combinatorial models · Advanced Algebra and Geometry