Mixed Hodge structures associated to geometric variations

Details Mixed Hodge structures associated to geometric variations Mixed Hodge structures associated to geometric variations

2006-11-27

arxiv.org/abs/math/0611837v3

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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