Non-genericity of variations of Hodge structure for hypersurfaces of high degree

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In this paper we are interested in proving that the infinitesimal variations of Hodge structure of hypersurfaces of high enough degree lie in a proper subvariety of the variety of all infinitesimal variations. This is proved using a space of symmetrizers as defined by Donagi, to identify a geometric structure carried by the variety of all infinitesimal variations of Hodge structure.
Accepted for publication by the Duke Mathematical Journal

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Algebraic Geometry, 14D07

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http://salesiana.dossiersoluciones.com/handle/123456789/74525

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0503346
 http://arxiv.org/abs/math/0503346

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arXiv