2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65318In this paper we use the theory of $ε$-constants associated to tame finite group actions on arithmetic surfaces to define a Brauer group invariant $μ(\X,G,V)$ associated to certain symplectic motives of weight one. We then discuss the relationship between this invariant and $w_2(π)$, the Galois theoretic invariant associated to tame covers of surfaces.9 pagesNumber TheoryAlgebraic Geometrytext