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Non-genericity of infinitesimal variations of Hodge structures arising in some geometric contexts
Published online by Cambridge University Press: 12 January 2010
Abstract
We prove that the infinitesimal variations of Hodge structure arising in a number of geometric situations are non-generic. In particular, we consider the case of generic hypersurfaces in complete smooth projective toric varieties, generic hypersurfaces in weighted projective spaces and generic complete intersections in projective space and show that, for sufficiently high degrees, the corresponding infinitesimal variations are non-generic.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 53 , Issue 1 , February 2010 , pp. 13 - 29
- Copyright
- Copyright © Edinburgh Mathematical Society 2010