Invariants Associated to Orthogonal ε-constants

2002/10/16 by Darren Glass, Glass, Darren
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT

paper · pdf · doi:10.48550/arxiv.math/0210248

9 pages

arxiv created 2002/11/19 · arxiv updated 2009/11/30

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(\X,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.

Related

• ε-Constants and Orthogonal Representations
• Invariant Fields of Symplectic and Orthogonal Groups
• Relations between some invariants of algebraic varieties in positive characteristic
• Galois groups of low dimensional abelian varieties over finite fields
• Equivalence motivique des groupes algebriques semisimples