English

Invariants Associated to Orthogonal $\epsilon$-constants

Number Theory 2007-05-23 v2 Algebraic Geometry

Abstract

In this paper we use the theory of ϵ\epsilon-constants associated to tame finite group actions on arithmetic surfaces to define a Brauer group invariant μ(\X,G,V)\mu(\X,G,V) associated to certain symplectic motives of weight one. We then discuss the relationship between this invariant and w2(π)w_2(\pi), the Galois theoretic invariant associated to tame covers of surfaces.

Keywords

Cite

@article{arxiv.math/0210248,
  title  = {Invariants Associated to Orthogonal $\epsilon$-constants},
  author = {Darren Glass},
  journal= {arXiv preprint arXiv:math/0210248},
  year   = {2007}
}

Comments

9 pages

R2 v1 2026-07-22T16:48:28.465Z