Reconstruction of function fields

Fedor Bogomolov; Yuri Tschinkel

doi:10.1007/s00039-008-0665-8

Reconstruction of function fields

Fedor Bogomolov, Yuri Tschinkel

Mathematics

Research output: Contribution to journal › Article

Abstract

For k an algebraic closure of the finite field double-struck F sign p ,ℓ prime distinct from p and X a surface over k, we prove that the field of rational functions k(X) can be recovered from the maximal pro-ℓ-quotient GK of its absolute Galois group - in fact already from the second central descending series quotient of GK .

Original language	English (US)
Pages (from-to)	400-462
Number of pages	63
Journal	Geometric and Functional Analysis
Volume	18
Issue number	2
DOIs	https://doi.org/10.1007/s00039-008-0665-8
State	Published - Jul 2008

Keywords

Function fields
Galois groups

ASJC Scopus subject areas

Analysis
Geometry and Topology

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Bogomolov, F., & Tschinkel, Y. (2008). Reconstruction of function fields. Geometric and Functional Analysis, 18(2), 400-462. https://doi.org/10.1007/s00039-008-0665-8

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