Kodaira dimension and zeros of holomorphic one-forms

Pages 1109-1120 from Volume 179 (2014), Issue 3 by Mihnea Popa, Christian Schnell

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 modules on abelian varieties.

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Keywords
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DOI
https://doi.org/10.4007/annals.2014.179.3.6
MR
3171760
zbMATH
06302170
Milestones
Received: 18 January 2013
Revised: 28 July 2013
Accepted: 20 November 2013
Published online: 1 May 2014

Authors

Mihnea Popa

Department of Mathematics, University of Illinois at Chicago, 851 S. Morgan Street, Chicago, IL 60607

Christian Schnell

Department of Mathematics, Stony Brook University, Stony Brook, NY 11794