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Overview of Saito’s Mixed Hodge Modules, and Immediate Applications

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Intersection Homology & Perverse Sheaves

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 281))

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Abstract

In this chapter, we give a brief overview of Morihiko Saito’s theory of mixed Hodge modules, with an emphasis on concrete applications to Hodge-theoretic aspects of intersection homology. Mixed Hodge modules are extensions in the singular context of variations of mixed Hodge structures, and can be regarded, informally, as sheaves of mixed Hodge structures.

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Notes

  1. 1.

    Geometric variations of mixed Hodge structures are admissible, cf. [120].

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Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin-Madison, Madison, WI, USA

    Laurenţiu G. Maxim

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  1. Laurenţiu G. Maxim
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Maxim, L.G. (2019). Overview of Saito’s Mixed Hodge Modules, and Immediate Applications. In: Intersection Homology & Perverse Sheaves. Graduate Texts in Mathematics, vol 281. Springer, Cham. https://doi.org/10.1007/978-3-030-27644-7_11

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