A better comparison of cdh- and ldh-cohomologies
A better comparison of cdh- and ldh-cohomologies
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更好地比较 cdh 和 ldh 上同调
DOI：
10.1017/nmj.2019.24
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发表时间：
2019
影响因子：
0.8
通讯作者：
Kelly Shane
中科院分区：
文献类型：
--
作者：
Elmanto Elden;Hoyois Marc;Iwasa Ryomei;Kelly Shane;Kelly Shane
为了处理非Nagata环，即Nagata的“直到完全分解的泛同胚”，特别是有限秩Hensel赋值环，我们引入了伪积分闭包，伪正规化和伪Hensel赋值环的概念。我们使用这个概念给出一个更短和更直接的证明，-系数）是不变的，不仅为幂零增厚，但所有的通用同胚。
In order to work with non-Nagata rings which are Nagata “up-to-completely-decomposed-universal-homeomorphism,” specifically finite rank Hensel valuation rings, we introduce the notions of pseudo-integral closure, pseudo-normalization, and pseudo-Hensel valuation ring. We use this notion to give a shorter and more direct proof that -coefficients) is invariant not just for nilpotent thickenings, but for all universal homeomorphisms.