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 $V$.
 Publication:

arXiv eprints
 Pub Date:
 September 2019
 DOI:
 10.48550/arXiv.1910.00035
 arXiv:
 arXiv:1910.00035
 Bibcode:
 2019arXiv191000035F
 Keywords:

 Mathematics  Algebraic Geometry;
 14D07;
 14F10;
 32C38;
 32G20
 EPrint:
 16 pages