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

By C. Schnell. 2014

86 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ae4ec2c174c7b7b5f031e58c9d7058e21445906a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

In Mathematical Physics

Citations in the corpus

Extending holomorphic forms from the regular locus of a complex space to a resolution of singularities (2018, result): “er. Œis choice agrees with the notation of the paper [Sch16], which we will frequently cite. It is, however, incompatible with the conventions of the reference papers [Sai88, Sai90] and of the survey [Sch14] that use right D-modules throughout. We refer the reader to [Sch16, §A.5], where the convers”
Viehweg’s hyperbolicity conjecture for families with maximal variation (2015, methodology): “An introduction to Hodge modules that covers all the results we need here, with references to the original work of Saito, can be found in [Sch14].”