Period integrals and Hodge modules

Abstract

We define a map ${\mathcal{P}}_M$ attached to any polarized Hodge module $M$ such that the restriction of ${\mathcal{P}}_M$ to a locus on which $M$ is a variation of Hodge structures induces the usual period integral pairing for this variation of Hodge structures. In the case that $M$ is the minimal extension of a simple polarized variation of Hodge structures $V$, we show that the homotopy image of ${\mathcal{P}}_M$ is the minimal extension of the graph morphism of the usual period integral map for $V$.

16 pages

References in corpus (1)

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