Darren Glass
Published 2002-10-16, updated 2002-11-19Version 2
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.
An explicit approach to residues on and dualizing sheaves of arithmetic surfaces
Distribution of slopes for $\mathscr{L}$-invariants
Parabolic Simple $\mathscr{L}$-Invariants
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