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Brauer Group Invariants Associated to Orthogonal Epsilon‐Constants

Brauer Group Invariants Associated to Orthogonal Epsilon‐Constants In this paper, the theory of ε‐constants associated to tame finite group actions on arithmetic surfaces is used to define a Brauer group invariant μ(X, G, V) associated to certain symplectic motives of weight one. The relationship between this invariant and w2(π) (the Galois‐theoretic invariant associated to tame covers of surfaces defined by Cassou‐Noguès, Erez and Taylor) is also discussed. 2000 Mathematics Subject Classification 11G35 (primary), 11G40, 14G40 (secondary). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

Brauer Group Invariants Associated to Orthogonal Epsilon‐Constants

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References (19)

Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/S0024609304004151
Publisher site
See Article on Publisher Site

Abstract

In this paper, the theory of ε‐constants associated to tame finite group actions on arithmetic surfaces is used to define a Brauer group invariant μ(X, G, V) associated to certain symplectic motives of weight one. The relationship between this invariant and w2(π) (the Galois‐theoretic invariant associated to tame covers of surfaces defined by Cassou‐Noguès, Erez and Taylor) is also discussed. 2000 Mathematics Subject Classification 11G35 (primary), 11G40, 14G40 (secondary).

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Apr 1, 2005

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