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Discreteness and rationality of F-thresholds

Manuel Blickle·Mircea Mustaţǎ·Karen E. Smith
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Abstract

The F-thresholds are characteristic p analogs of the jumping coefficients for multiplier ideals in characteristic zero. In this article we give an alternative description of the F-thresholds of an ideal in a regular and F--finite ring $R$. This enables us to settle two open questions posed in [Mustata, Takagi, Watanabe: F-thresholds and Bernstein-Sato polynomials], namely we show that the F-thresholds are rational and discrete.

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Manuel Blickle, Mircea Mustaţǎ, Karen E. Smith. 2007-05-01. Discreteness and rationality of F-thresholds. https://arxiv.org/abs/math/0607660

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