Proof of a conjecture of Colliot-Thélène
arXiv:1108.6250 · doi:10.2140/ant.2019.13.1983
Abstract
We prove a conjecture of Colliot-Thélène 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.
18 pages. Substantial revision to improve the exposition. A few mistakes corrected. The Diophantine Purity Theorem is now called the Diophantine Excision Theorem