a1 Department of Mathematics, University of Utah, Salt Lake City, UT 84112-0090, USA, Email: (email@example.com)
a2 Instituto Balseiro, Universidad Nacional de Cuyo - CNEA, Bariloche R8402AGP, Argentina, Email: (firstname.lastname@example.org)
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.
(Received January 30 2007)
2000 Mathematics subject classification