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November 2013 Symmetric differentials and the fundamental group
Yohan Brunebarbe, Bruno Klingler, Burt Totaro
Duke Math. J. 162(14): 2797-2813 (November 2013). DOI: 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.

Citation

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Yohan Brunebarbe. Bruno Klingler. Burt Totaro. "Symmetric differentials and the fundamental group." Duke Math. J. 162 (14) 2797 - 2813, November 2013. https://doi.org/10.1215/00127094-2381442

Information

Received: 6 April 2012; Revised: 27 March 2013; Published: November 2013
First available in Project Euclid: 6 November 2013

zbMATH: 1296.32003
MathSciNet: MR3127814
Digital Object Identifier: 10.1215/00127094-2381442

Subjects:
Primary: 14F35
Secondary: 14D07

Rights: Copyright © 2013 Duke University Press

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Vol.162 • No. 14 • November 2013
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