Mihnea Popa : Kodaira dimension and zeros of holomorphic one forms

Posted by Mihnea Popa , part of the Algebraic Geometry Seminar.

At

Feb. 13, 2013, 4 p.m.

In

SEO 427

Abstract

I will report on recent work with C. Schnell, in which we prove that every holomorphic one-form on a variety of general type must vanish at some point (together with a suitable generalization to arbitrary Kodaira dimension). The proof makes use of generic vanishing theory for Hodge $D$-modules on abelian varieties.