Trading degree for dimension in the section conjecture: The non-abelian Shapiro Lemma
Algebraic Geometry
2009-02-11 v1 Group Theory
Number Theory
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.
Keywords
Cite
@article{arxiv.0902.1653,
title = {Trading degree for dimension in the section conjecture: The non-abelian Shapiro Lemma},
author = {Jakob Stix},
journal= {arXiv preprint arXiv:0902.1653},
year = {2009}
}