Cohomology of tori over p-adic curves |
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| Authors: | Claus Scheiderer Joost van Hamel |
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| Institution: | Institut für Mathematik, Fakult?t 4, Universit?t Duisburg, 47048 Duisburg, Germany (e-mail: claus@uni-duisburg.de), DE
School of Mathematics and Statistics, F07, University of Sydney, NSW 2006, Australia (e-mail: vanhamel@member.ams.org), AU
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| 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.
Received: 28 January 2002 /
Published online: 28 March 2003
Mathematics Subject Classification (2000): 14G20, 14F22, 14L15, 11S25 |
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