Kodaira dimension and zeros of holomorphic one-forms

Mihnea Popa; Christian Schnell

doi:10.4007/annals.2014.179.3.6

Kodaira dimension and zeros of holomorphic one-forms

Mihnea Popa
, Christian Schnell

Mathematics

University of Illinois at Chicago

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

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.

Original language	English
Pages (from-to)	1109-1120
Number of pages	12
Journal	Annals of Mathematics
Volume	179
Issue number	3
DOIs	https://doi.org/10.4007/annals.2014.179.3.6
State	Published - May 2014

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10.4007/annals.2014.179.3.6

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title = "Kodaira dimension and zeros of holomorphic one-forms",

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AU - Schnell, Christian

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Kodaira dimension and zeros of holomorphic one-forms

Abstract

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