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Mixed Hodge structures associated to geometric variations

Algebraic Geometry 2008-04-30 v3

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.

Keywords

Cite

@article{arxiv.math/0611837,
  title  = {Mixed Hodge structures associated to geometric variations},
  author = {Donu Arapura},
  journal= {arXiv preprint arXiv:math/0611837},
  year   = {2008}
}

Comments

The paper has essentially been rewritten. It now contains a long exposition of Hodge modules. It's now 25 pgs