English

Local cohomology bounds and test ideals

Commutative Algebra 2021-03-16 v4

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 FF-regular and strongly FF-regular for 4-dimensional rings essentially of finite type over a field of prime characteristic p>5p>5.

Keywords

Cite

@article{arxiv.1909.11231,
  title  = {Local cohomology bounds and test ideals},
  author = {Ian Aberbach and Thomas Polstra},
  journal= {arXiv preprint arXiv:1909.11231},
  year   = {2021}
}