Algebraic Anabelian Functors
Algebraic Geometry
2009-12-22 v1 Number Theory
Abstract
In this paper we will prove that there exists a covariant functor, called algebraic anabelian functor, from the category of algebraic schemes over a given field to the category of outer homomorphism sets of groups. The algebraic anabelian functor, given in a canonical manner, is full and faithful. It reformulates the anabelian geometry over a field. As an application of the anabelian functor, we will also give a proof of the section conjecture of Grothendieck for the case of algebraic schemes.
Cite
@article{arxiv.0912.4017,
title = {Algebraic Anabelian Functors},
author = {Feng-Wen An},
journal= {arXiv preprint arXiv:0912.4017},
year = {2009}
}
Comments
48 pages