Opposite filtrations, variations of Hodge structure, and Frobenius modules

Details Opposite filtrations, variations of Hodge structure, and Frobenius modules Opposite filtrations, variations of Hodge structure, and Frobenius modules

2003-01-29

arxiv.org/abs/math/0301342v2

Aspects Math., E36, Vieweg, 19--43 (2004)

Mathematics

Algebraic Geometry

Typos corrected

Scientific paper

In this article we describe three constructions of complex variations of Hodge structure, proving the existence of interesting opposite filtrations that generalize a construction of Deligne. We also analyze the relation between deformations of Frobenius modules and certain maximally degenerate variations of Hodge structures. Finally, under a certain generation hypothesis, we show how to construct a Frobenius manifold starting from a deformation of a Frobenius module.

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