Symmetric differentials and the fundamental group

Yohan Brunebarbe, Bruno Klingler, Burt Totaro

Type: Article

Publication Date: 2013-11-01

Citations: 25

DOI: https://doi.org/10.1215/00127094-2381442

Abstract

We show that any smooth complex projective variety whose fundamental group has a complex representation with infinite image must have a nonzero symmetric differential (a section of a symmetric power of the cotangent bundle). Along the way, we produce many symmetric differentials on the base of a variation of Hodge structures.

Locations

Duke Mathematical Journal - View
arXiv (Cornell University) - View - PDF
DataCite API - View

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+ PDF Chat	L2 vanishing theorems for positive line bundles and adjunction theory	1996	Jean-Pierre Demailly
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+	Courbes de genre géométrique borné sur une surface de type général [d’après F. A. Bogomolov]	2006	Mireille Deschamps
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