How to use finite fields for problems concerning infinite fields
Algebraic Geometry
2009-03-25 v2
Abstract
The first part is expository: it explains how finite fields may be used to prove theorems on infinite fields by a reduction mod p process. The second part gives a variant of P.Smith's fixed point theorem which applies in any characteristic.
Keywords
Cite
@article{arxiv.0903.0517,
title = {How to use finite fields for problems concerning infinite fields},
author = {Jean-Pierre Serre},
journal= {arXiv preprint arXiv:0903.0517},
year = {2009}
}
Comments
12 pages; to appear in Proc.Conference Marseille-Luminy 2007, Contemp. Math. series, AMS, 2009