A COHOMOLOGICAL TAMAGAWA NUMBER FORMULA

Huber, Annette and Kings, Guido (2011) A COHOMOLOGICAL TAMAGAWA NUMBER FORMULA. NAGOYA MATHEMATICAL JOURNAL, 202. pp. 45-75. ISSN 0027-7630,

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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.

Item Type: Article
Uncontrolled Keywords: CONJECTURE;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Guido Kings
Depositing User: Dr. Gernot Deinzer
Date Deposited: 15 Jun 2020 13:27
Last Modified: 15 Jun 2020 13:27
URI: https://pred.uni-regensburg.de/id/eprint/20771

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