Reconstructing function fields from rational quotients of mod-$\ell$ Galois groups
Algebraic Geometry
2016-05-30 v3 K-Theory and Homology
Abstract
In this paper, we develop the main step in the global theory for the mod- analogue of Bogomolov's program in birational anabelian geometry for higher-dimensional function fields over algebraically closed fields. More precisely, we show how to reconstruct a function field of transcendence degree over an algebraically closed field, up-to inseparable extensions, from the mod- abelian-by-central Galois group of endowed with the collection of mod- rational quotients.
Keywords
Cite
@article{arxiv.1408.5194,
title = {Reconstructing function fields from rational quotients of mod-$\ell$ Galois groups},
author = {Adam Topaz},
journal= {arXiv preprint arXiv:1408.5194},
year = {2016}
}
Comments
V3: 42 pages; Final version; purely expository changes; numbering changed in section 8. Will appear in Math. Annalen