日本型Dedekind域是优异的
数论
2022-05-10 v3
摘要
数论中著名的基本恒等式用局部信息表达整体域扩张的次数。本文中我们给出了任意Dedekind域的广义基本恒等式。作为一个应用，我们证明任意日本型Dedekind域已经是优异的。
引用
@article{arxiv.2102.10481,
title = {Japanese Dedekind domains are excellent},
author = {Chia-Fu Yu},
journal= {arXiv preprint arXiv:2102.10481},
year = {2022}
}
备注
Title changed; add the exposition of valuation theory (Section 3 of v1) back; to appear in Taiwanese J. Math.; comments are welcome