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

Locating the peaks of least-energy solutions to a semilinear Neumann problemWei-Ming Ni and Izumi TakagiVolume 70, Number 2 (1993)
Metric measure spaces with Riemannian Ricci curvature bounded from belowLuigi Ambrosio, Nicola Gigli, and Giuseppe SavaréVolume 163, Number 7 (2014)
Cluster algebras III: Upper bounds and double Bruhat cellsArkady Berenstein, Sergey Fomin, and Andrei ZelevinskyVolume 126, Number 1 (2005)
Markov chains in smooth Banach spaces and Gromov-hyperbolic metric spacesAssaf Naor, Yuval Peres, Oded Schramm, and Scott SheffieldVolume 134, Number 1 (2006)
Cubic hypersurfaces and a version of the circle method for number fieldsT. D. Browning and P. VisheVolume 163, Number 10 (2014)
  • 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

Yohan Brunebarbe, Bruno Klingler, and Burt TotaroVolume 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.