Reconstruction of higher-dimensional function fields
Algebraic Geometry
2009-12-31 v1
Abstract
We prove that function fields of varieties of dimension at least two over an algebraic closure of a finite field are determined, modulo purely inseparable extensions, by the quotient by the second term in the lower central series of their pro- Galois groups.
Keywords
Cite
@article{arxiv.0912.4923,
title = {Reconstruction of higher-dimensional function fields},
author = {Fedor Bogomolov and Yuri Tschinkel},
journal= {arXiv preprint arXiv:0912.4923},
year = {2009}
}
Comments
22 pages