Local cohomology bounds and test ideals

Abstract

We find sufficient conditions which imply equality of the finitistic test ideal and test ideal in rings of prime characteristic. Utilizing recent progress from the prime characteristic minimal model program we equate the notions of $F$-regular and strongly $F$-regular for 4-dimensional rings essentially of finite type over a field of prime characteristic $p>5$.

References in corpus (1)

• On the log minimal model program for $3$-folds over imperfect fields of characteristic $p>5$

Cited by in corpus (3)

• Globally +-regular varieties and the minimal model program for threefolds in mixed characteristic
• Symbolic analytic spread: upper bounds and applications
• $F$-purity deforms in $\mathbb{Q}$-Gorenstein rings