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Local 𝔪-adic constancy of F-pure thresholds and test ideals
Published online by Cambridge University Press: 02 May 2017
Abstract
In this paper, 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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- Research Article
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- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 164 , Issue 2 , March 2018 , pp. 285 - 295
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- Copyright © Cambridge Philosophical Society 2017
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