Kodaira dimension and zeros of holomorphic one-forms

• 成果类型: Article
• 署名作者: Popa, Mihnea; schnell, Christian
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2014.179.3.6
• 发表日期: 2014
• 页码: 1109-1120
• 关键词: projective-manifolds; vanishing theorems; VARIETIES; families; bundles

摘要

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.