Non-genericity of infinitesimal variations of Hodge structures arising in some geometric contexts
Non-genericity of infinitesimal variations of Hodge structures arising in some geometric contexts
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 …