Austyn Simpson

activity

20192026

most cited

F

-nilpotent rings and permanence properties

9 citations · 11 across the 12 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.AC2020★ 2 cited

$F$ -purity deforms in $Q$ -Gorenstein rings

Thomas Polstra, Austyn Simpson

We show that $F$ -purity deforms in local $Q$ -Gorenstein rings of prime characteristic $p > 0$ . Furthermore, we show that $F$ -purity is $m$ -adically stable in loca…

math.AC2020★ 9 cited

$F$ -nilpotent rings and permanence properties

Jennifer Kenkel, Kyle Maddox, Thomas Polstra +1

We explore the singularity classes $F$ -nilpotent, weakly $F$ -nilpotent, and generalized weakly $F$ -nilpotent under faithfully flat local ring maps. As an application, we show that…

F-purity deforms in Q-Gorenstein rings

F-nilpotent rings and permanence properties

$F$ -purity deforms in $Q$ -Gorenstein rings

$F$ -nilpotent rings and permanence properties