On the Equality of Test Ideals
Commutative Algebra
2024-01-18 v2 Algebraic Geometry
Abstract
We provide a natural criterion which implies equality of the finitistic test ideal and test ideal in local rings of prime characteristic. Most notably, we show that the criterion is met by every local weakly -regular ring whose anti-canonical algebra is Noetherian on the punctured spectrum.
Cite
@article{arxiv.2301.02202,
title = {On the Equality of Test Ideals},
author = {Ian Aberbach and Craig Huneke and Thomas Polstra},
journal= {arXiv preprint arXiv:2301.02202},
year = {2024}
}
Comments
Comments welcome. arXiv admin note: substantial text overlap with arXiv:1909.11231