Mathematische Annalen

, Volume 326, Issue 1, pp 155–183 | Cite as

Cohomology of tori over p-adic curves

  • Claus Scheiderer
  • Joost van Hamel


 We establish a duality in the cohomology of arbitrary tori over smooth but not necessarily projective curves over a p-adic field. This generalises Lichtenbaum–Tate duality between the Picard group and the Brauer group of a smooth projective curve.


Tate Projective Curve Picard Group Smooth Projective Curve Projective Curf 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Claus Scheiderer
    • 1
  • Joost van Hamel
    • 2
  1. 1.Institut für Mathematik, Fakultät 4, Universität Duisburg, 47048 Duisburg, Germany (e-mail:
  2. 2.School of Mathematics and Statistics, F07, University of Sydney, NSW 2006, Australia (e-mail:

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