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Bulletin of the London Mathematical Society (1)

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BRAUER GROUP INVARIANTS ASSOCIATED TO ORTHOGONAL EPSILON-CONSTANTS
DARREN GLASS
Journal:

Bulletin of the London Mathematical Society / Volume 37 / Issue 2 / March 2005

Published online by Cambridge University Press:

10 March 2005, pp. 172-178

Print publication:

March 2005
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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.