$F$-purity deforms in $\mathbb{Q}$-Gorenstein rings
Commutative Algebra
2022-09-08 v4
Abstract
We show that -purity deforms in local -Gorenstein rings of prime characteristic . Furthermore, we show that -purity is -adically stable in local Cohen-Macaulay -Gorenstein rings.
Cite
@article{arxiv.2009.13444,
title = {$F$-purity deforms in $\mathbb{Q}$-Gorenstein rings},
author = {Thomas Polstra and Austyn Simpson},
journal= {arXiv preprint arXiv:2009.13444},
year = {2022}
}
Comments
The introduction has been rewritten. The article is to appear in International Mathematics Research Notices