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

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

2005-03-17

arxiv.org/abs/math/0503346v1

Mathematics

Algebraic Geometry

Accepted for publication by the Duke Mathematical Journal

Scientific paper

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.

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