An application of the almost purity theorem to the homological conjectures

作者：Shimomoto Kazuma^*

来源：Journal of Pure and Applied Algebra, 2016, 220(2): 621-632.

DOI：10.1016/j.jpaa.2015.07.008

The aim of this article is to establish the existence of a big Cohen-Macaulay algebra over a local ring in mixed characteristic p > 0 in the case where the local ring is finite etale over a regular local subring after inverting p. The main result follows from the so-called almost purity theorem proved by Davis and Kedlaya.

• 出版日期2016-2