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arXiv:1212.5714 [math.AG]AbstractReferencesReviewsResources

Kodaira dimension and zeros of holomorphic one-forms

Mihnea Popa, Christian Schnell

Published 2012-12-22, updated 2013-11-27Version 2

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.

Comments: 9 pages; final version, to appear in Ann. of Math
Categories: math.AG
Subjects: 14E30, 14F10
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