An overview of Morihiko Saito's theory of mixed Hodge modules

2014/05/13 by Schnell, Christian · 4 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1405.3096

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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• Multiplier modules, V-filtrations and Bernstein-Sato polynomials on singular ambient varieties
• Inversion of adjunction for higher rational singularities
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• On nefness of the lowest piece of Hodge modules

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