Difference fields and descent in algebraic dynamics, II
Logic
2008-07-04 v2 Algebraic Geometry
Abstract
This second part of the paper strengthens the descent theory described in the first part to rational maps, arbitrary base fields, and dynamics given by correspondences. We obtain in particular a decomposition of any difference field extension into a tower of finite, field-internal and one-based difference field extensions. This is needed in order to obtain the "dynamical Northcott" Theorem 1.11 of Part I in sharp form.
Keywords
Cite
@article{arxiv.0711.3865,
title = {Difference fields and descent in algebraic dynamics, II},
author = {Zoé Chatzidakis and Ehud Hrushovski},
journal= {arXiv preprint arXiv:0711.3865},
year = {2008}
}
Comments
Revised version; some corrections related to purely inseparable descent, with thanks to referee