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June 2011 A cohomological Tamagawa number formula
Annette Huber, Guido Kings
Nagoya Math. J. 202: 45-75 (June 2011). DOI: 10.1215/00277630-1260441

Abstract

For smooth linear group schemes over Z, we give a cohomological interpretation of the local Tamagawa measures as cohomological periods. This is in the spirit of the Tamagawa measures for motives defined by Bloch and Kato. We show that in the case of tori, the cohomological and the motivic Tamagawa measures coincide, which proves again the Bloch-Kato conjecture for motives associated to tori.

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Annette Huber. Guido Kings. "A cohomological Tamagawa number formula." Nagoya Math. J. 202 45 - 75, June 2011. https://doi.org/10.1215/00277630-1260441

Information

Published: June 2011
First available in Project Euclid: 31 May 2011

zbMATH: 1230.11084
MathSciNet: MR2804545
Digital Object Identifier: 10.1215/00277630-1260441

Subjects:
Primary: 11G40, 11R42, 14G10, 22E41

Rights: Copyright © 2011 Editorial Board, Nagoya Mathematical Journal

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Vol.202 • June 2011
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