Non-genericity of variations of Hodge structure for hypersurfaces of high degree
classification
🧮 math.AG
keywords
structurevariationshodgeinfinitesimaldegreehighhypersurfacesvariety
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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.
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