Discreteness and rationality of F-thresholds

Details Discreteness and rationality of F-thresholds Discreteness and rationality of F-thresholds

2006-07-26

arxiv.org/abs/math/0607660v2

Special volume in honor of Melvin Hochster. Michigan Math. J. 57 (2008), 43-61

Mathematics

Algebraic Geometry

21 pages, fully revised version. to appear in Michigan Math Journal

Scientific paper

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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