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Opposite filtrations, variations of Hodge structure, and Frobenius modules

Javier Fernandez·Gregory Pearlstein
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Abstract

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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Javier Fernandez, Gregory Pearlstein. 2003-03-06. Opposite filtrations, variations of Hodge structure, and Frobenius modules. https://arxiv.org/abs/math/0301342

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