Galois actions on complex braid groups

2012/02/26 by Ivan Marin, Marin, Ivan
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Group Theory (math.GR) #Number Theory (math.NT) #math.AG #math.GR #math.NT

paper · pdf · doi:10.48550/arxiv.1202.5725

proceedings contribution to "Galois-Teichmueller theory and Arithmetic Geometry", Kyoto 2010

arxiv created 2012/02/26 · arxiv updated 2012/02/28

Abstract

We establish the faithfulness of a geometric action of the absolute Galois group of the rationals that can be defined on the discriminantal variety associated to a finite complex reflection group, and review some possible connections with the profinite Grothendieck-Teichmüller group.

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