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arXiv:math/0503346 [math.AG]AbstractReferencesReviewsResources

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

Emmanuel Allaud

Published 2005-03-17Version 1

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.

Comments: Accepted for publication by the Duke Mathematical Journal
Categories: math.AG
Subjects: 14D07
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