NON-GENERICITY OF INFINITESIMAL VARIATIONS OF HODGE STRUCTURES ARISING IN SOME GEOMETRIC CONTEXTS

作者：Allaud Emmanuel^*; Fernandez Javier

来源：Proceedings of the Edinburgh Mathematical Society, 2010, 53: 13-29.

DOI：10.1017/S001309150700017X

• Hodge theory
• infinitesimal variations of Hodge structure
• geometric variation

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.

• 出版日期2010-2