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Bulletin of the London Mathematical Society 2005 37(2):172-178; doi:10.1112/S0024609304004151
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© London Mathematical Society

Brauer Group Invariants Associated to Orthogonal Epsilon-Constants

Darren Glass

Department of Mathematics, Columbia University New York, NY 10027, USA glass{at}math.columbia.edu

Received 14 January 2003. Revision received 24 March 2004.

In this paper, the theory of {varepsilon}-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({pi}) (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).

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


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