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.

Top downloads over the last seven days

The range characterizations of the totally geodesic Radon transform on the real hyperbolic spaceVolume 90, Number 1 (1997)
On special representations of $p$ -adic reductive groupsVolume 163, Number 12 (2014)
Supersingular K3 surfaces for large primesVolume 163, Number 13 (2014)
Homological properties of finite-type Khovanov–Lauda–Rouquier algebrasVolume 163, Number 7 (2014)
The existence of periodic solutions of systems of differential equationsVolume 17, Number 4 (1950)
• 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.