Submission date: 14 May 2015.

Abstract:

[In French, Work started during the programme Model Theory, Arithmetic Geometry and Number Theory, at MSRI on Spring 2014.]

We give an alternative proof, valid in all characteristics, of a result of Lascar characterising the bounded automorphisms of an algebraically closed field. We generalise this method to various fields equipped with operators.

Mathematics Subject Classification:

Keywords and phrases: 03C45, 12H05

Full text arXiv 1505.03669: pdf, ps.