%0 Journal Article
%T Reconstruction of higher-dimensional function fields
%A Fedor Bogomolov
%A Yuri Tschinkel
%J Mathematics
%D 2009
%I arXiv
%X 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-$\ell$ Galois groups.
%U http://arxiv.org/abs/0912.4923v1