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arXiv · 1212.5714

Kodaira dimension and zeros of holomorphic one-forms

Mihnea Popa·Christian Schnell
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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.

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Mihnea Popa, Christian Schnell. 2013-11-27. Kodaira dimension and zeros of holomorphic one-forms. https://arxiv.org/abs/1212.5714

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