Proof of a conjecture of Colliot-Th\'el\`ene
Algebraic Geometry
2019-12-11 v2 Number Theory
Abstract
We prove a conjecture of Colliot-Th\'el\`ene that implies the Ax-Kochen Theorem on p-adic forms. We obtain it as an easy consequence of a diophantine excision theorem whose proof forms the body of the present paper.
Cite
@article{arxiv.1108.6250,
title = {Proof of a conjecture of Colliot-Th\'el\`ene},
author = {Jan Denef},
journal= {arXiv preprint arXiv:1108.6250},
year = {2019}
}
Comments
18 pages. Substantial revision to improve the exposition. A few mistakes corrected. The Diophantine Purity Theorem is now called the Diophantine Excision Theorem