论文标题
关于Rost Nilpotence原则的评论
A remark on the Rost Nilpotence Principle
论文作者
论文摘要
我们考虑了Rost Nilpotence原理的薄弱版本。对于特征零字段K,我们表明,如果它适用于K上的所有平滑投影方案,那么ROST NILPOTENCE原理也可以。我们还纠正了Arxiv中引理的证明:1807.08163(3)。
We consider a weak version of the Rost Nilpotence Principle. For characteristic zero fields k, we show that if it holds for all smooth projective schemes over k, then the Rost Nilpotence Principle does also. We also correct the proof of a lemma in arXiv:1807.08163(3).