Local m-adic constancy of F-pure thresholds and test ideals
Commutative Algebra
2018-03-14 v1 Algebraic Geometry
Abstract
In this note, we consider a corollary of the ACC conjecture for F-pure thresholds. Specifically, we show that the F-pure threshold (and more generally, the test ideals) associated to a polynomial with an isolated singularity are locally constant in the m-adic topology of the corresponding local ring. As a by-product of our methods, we also describe a simple algorithm for computing all of the F-jumping numbers and test ideals associated to an arbitrary polynomial over an F-finite field.
Keywords
Cite
@article{arxiv.1801.05506,
title = {Local m-adic constancy of F-pure thresholds and test ideals},
author = {Daniel J. Hernández and Luis Núñez-Betancourt and Emily E. Witt},
journal= {arXiv preprint arXiv:1801.05506},
year = {2018}
}
Comments
12 pages, to appear in Mathematical Proceedings of the Cambridge Philosophical Society