赋值差域与 NTP2
逻辑
2013-08-27 v3
摘要
我们证明了作用于等特征 0 代数闭赋值域上的非标准 Frobenius 自同构的理论是 NTP2 的。更一般地，在压缩情形以及等距情形下，我们证明：若剩余差域和值群（作为有序差群）均为 NTP2，则等特征 0 的-Hensel 赋值差域也是 NTP2 的。
引用
@article{arxiv.1208.1341,
title = {Valued difference fields and NTP2},
author = {Artem Chernikov and Martin Hils},
journal= {arXiv preprint arXiv:1208.1341},
year = {2013}
}
备注
Changes in v3: Section about resilience had been removed due to a mistake pointed out by the referee (and a corresponding conjecture had been added), the main theorem had been slightly generalized, overall presentation had been improved and some minor mistakes were corrected. Accepted for publication in the Israel Journal of Mathematics