Opposite filtrations, variations of Hodge structure, and Frobenius modules
Algebraic Geometry
2007-05-23 v2
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.
Keywords
Cite
@article{arxiv.math/0301342,
title = {Opposite filtrations, variations of Hodge structure, and Frobenius modules},
author = {Javier Fernandez and Gregory Pearlstein},
journal= {arXiv preprint arXiv:math/0301342},
year = {2007}
}
Comments
Typos corrected