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BRAUER GROUP INVARIANTS ASSOCIATED TO ORTHOGONAL EPSILON-CONSTANTS

Published online by Cambridge University Press:  10 March 2005

DARREN GLASS
DARREN GLASS
Affiliation:
Department of Mathematics, Columbia University, New York, NY 10027, [email protected]
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Abstract

In this paper, the theory of $\epsilon$-constants associated to tame finite group actions on arithmetic surfaces is used to define a Brauer group invariant $\mu(\X,G,V)$ associated to certain symplectic motives of weight one. The relationship between this invariant and $w_2(\pi)$ (the Galois-theoretic invariant associated to tame covers of surfaces defined by Cassou-Noguès, Erez and Taylor) is also discussed.

Keywords

11G35 (primary)11G4014G40 (seconary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 2 , March 2005 , pp. 172 - 178
Copyright
© The London Mathematical Society 2005

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Footnotes

This work received support from NSF grant DMS-98-10750.