Year: 2020
Type: preprint
Abstract: We show that $F$-purity deforms in local $\mathbb{Q}$-Gorenstein rings of prime characteristic $p>0$. Furthermore, we show that $F$-purity is $\mathfrak{m}$-adically stable in local Cohen-Macaulay $\mathbb{Q}$-Gorenstein rings.
Source: arXiv (Cornell University)
Authors: Polstra, Thomas, Simpson, Austyn
Institutions: University of Alabama, University of Michigan
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3090018168