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Mathematische Annalen

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

Cohomology of tori over p-adic curves

  • Claus Scheiderer
  • Joost van Hamel

Abstract.

 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.

Keywords

Tate Projective Curve Picard Group Smooth Projective Curve Projective Curf 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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: claus@uni-duisburg.de)DE
  2. 2.School of Mathematics and Statistics, F07, University of Sydney, NSW 2006, Australia (e-mail: vanhamel@member.ams.org)AU

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