Invariants Associated to Orthogonal $ε$-constants

Details Invariants Associated to Orthogonal $ε$-constants Invariants Associated to Orthogonal $ε$-constants

2002-10-16

arxiv.org/abs/math/0210248v2

Mathematics

Number Theory

9 pages

Scientific paper

In this paper we use the theory of $\epsilon$-constants associated to tame
finite group actions on arithmetic surfaces to define a Brauer group invariant
$\mu(\X,G,V)$ associated to certain symplectic motives of weight one. We then
discuss the relationship between this invariant and $w_2(\pi)$, the Galois
theoretic invariant associated to tame covers of surfaces.

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