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arXiv · 1801.05506

Local m-adic constancy of F-pure thresholds and test ideals

Daniel J. Hernández·Luis Núñez-Betancourt·Emily E. Witt
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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.

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Daniel J. Hernández, Luis Núñez-Betancourt, Emily E. Witt. 2018-01-16. Local m-adic constancy of F-pure thresholds and test ideals. https://doi.org/10.1017/s0305004117000196

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