Opposite filtrations, variations of Hodge structure, and Frobenius modules

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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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Algebraic Geometry, 14D07 (Primary) 14J32, 32G20, 32S35 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/97931

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0301342
 http://arxiv.org/abs/math/0301342
 Aspects Math., E36, Vieweg, 19--43 (2004)

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arXiv