<i>F</i>-Purity Deforms in ℚ-Gorenstein Rings-Reference-Cited by-同舟云学术

F-Purity Deforms in ℚ-Gorenstein Rings

Published:2022-09-22 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Polstra Thomas¹,Simpson Austyn²

Affiliation:

1. Department of Mathematics , University of Alabama, Tuscaloosa, AL 35487, USA

2. Department of Mathematics , University of Michigan, Ann Arbor, MI 48109, USA

Abstract

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.

Funder

NSF

Simons Foundation

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnac254/45972864/rnac254.pdf

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