Kodaira dimension and zeros of holomorphic one-forms

• Autores: Mihnea Popa, Christian Schnell
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 179, Nº 3, 2014, págs. 1109-1120
• Idioma: inglés
• DOI: 10.4007/annals.2014.179.3.6
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• Resumen

  • 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