Invariants Associated to Orthogonal ε-constants
Abstract
In this paper we use the theory of ε-constants associated to tame finite group actions on arithmetic surfaces to define a Brauer group invariant μ(,G,V) associated to certain symplectic motives of weight one. We then discuss the relationship between this invariant and w2(π), the Galois theoretic invariant associated to tame covers of surfaces.
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