## Duke Mathematical Journal

Published by Duke University Press since its inception in 1935, the Duke Mathematical Journal is one of the world's leading mathematical journals. DMJ emphasizes the most active and influential areas of current mathematics.

Contracting exceptional divisors by the Kähler–Ricci flowVolume 162, Number 2 (2013)
Stable bundles and integrable systemsVolume 54, Number 1 (1987)
Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equationsVolume 44, Number 3 (1977)
On the explicit construction of higher deformations of partition statisticsVolume 144, Number 2 (2008)
The $L^p$ -integrability of Green’s functions and fundamental solutions for elliptic and parabolic equationsVolume 51, Number 4 (1984)
• ISSN: 0012-7094 (print), 1547-7398 (electronic)
• Publisher: Duke University Press
• Discipline(s): Mathematics
• Full text available in Euclid: 1935 --
• Access: By subscription only
• Euclid URL: http://projecteuclid.org/dmj

### Featured article

#### Symmetric differentials and the fundamental group

Volume 162, Number 14
##### 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.