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

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

2009-02-10

arxiv.org/abs/0902.1653v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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