Mixed Hodge structures associated to geometric variations
arXiv:math/0611837
Abstract
The purpose of this note is prove that the mixed Hodge structure constructed by the author in math.AG/0301140 [The Leray spectral sequence is motivic, Invent. 2005] for geometric variations of Hodge structure coincides with the structure coming from M. Saito's mixed Hodge module theory. This note also contains a small erratum for the earlier paper.
The paper has essentially been rewritten. It now contains a long exposition of Hodge modules. It's now 25 pgs