Kodaira dimension and zeros of holomorphic one-forms
Algebraic Geometry
2013-12-02 v2
Abstract
We show that every holomorphic one-form on a smooth complex projective variety of general type must vanish at some point. The proof uses generic vanishing theory for Hodge D-modules on abelian varieties.
Keywords
Cite
@article{arxiv.1212.5714,
title = {Kodaira dimension and zeros of holomorphic one-forms},
author = {Mihnea Popa and Christian Schnell},
journal= {arXiv preprint arXiv:1212.5714},
year = {2013}
}
Comments
9 pages; final version, to appear in Ann. of Math