Trading degree for dimension in the section conjecture: The non-abelian Shapiro Lemma

2009/02/10 by Jakob Stix, Stix, Jakob · 1 citation
Mathematics · #14G05 #14H30 (Primary) #20E22 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics #Group Theory (math.GR) #Number Theory (math.NT) #math.AG #math.GR #math.NT #msc:14G05 #msc:14H30 #msc:20E22

paper · pdf · doi:10.48550/arxiv.0902.1653

arxiv created 2009/02/10 · arxiv updated 2009/12/01

Abstract

This note aims at providing evidence for the section conjecture of anabelian geometry by establishing its behaviour under Weil restriction of scalars. In particular, the etale fundamental group of the Weil restriction is determined by means of a Shapiro Lemma for non-abelian group cohomology.

Cited by

• Reducedness of twisted loop groups

Related

• On the "Section Conjecture" in anabelian geometry
• The Valuative Section Conjecture, Étale Homotopy, and Berkovich Spaces
• Around the Grothendieck Anabelian Section Conjecture
• The anabelian restricted Burnside problem
• Section and towers