Colliot-Thélène猜想的证明
代数几何
2019-12-11 v2 数论
摘要
我们证明了Colliot-Thélène的一个猜想，该猜想蕴含了关于p-adic形式的Ax-Kochen定理。我们将其作为丢番图切除定理的一个简单推论得出，而后者的证明构成了本文的主体。
引用
@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}
}
备注
18 pages. Substantial revision to improve the exposition. A few mistakes corrected. The Diophantine Purity Theorem is now called the Diophantine Excision Theorem