Geodesic
Kodaira dimension and zeros of holomorphic one-forms
Mihnea Popa1 ; Christian Schnell2
1 Department of Mathematics, University of Illinois at Chicago, 851 S. Morgan Street, Chicago, IL 60607
2 Department of Mathematics, Stony Brook University, Stony Brook, NY 11794
Annals of mathematics, Tome 179 (2014) no. 3, pp. 1109-1120.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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.
DOI : 10.4007/annals.2014.179.3.6

Mihnea Popa 1 ; Christian Schnell 2

1 Department of Mathematics, University of Illinois at Chicago, 851 S. Morgan Street, Chicago, IL 60607
2 Department of Mathematics, Stony Brook University, Stony Brook, NY 11794 
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Mihnea Popa; Christian Schnell. Kodaira dimension and zeros of holomorphic one-forms. Annals of mathematics, Tome 179 (2014) no. 3, pp. 1109-1120. doi : 10.4007/annals.2014.179.3.6. http://geodesic.mathdoc.fr/articles/10.4007/annals.2014.179.3.6/

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