Discreteness and rationality of F-thresholds

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.

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

References in corpus (1)

• F-thresholds and Bernstein-Sato polynomials

Cited by in corpus (7)

• Adjoint ideals along closed subvarieties of higher codimension
• On the discreteness and rationality of F-jumping coefficients
• D-modules over rings with finite F-representation type
• Bernstein-Sato polynomials in positive characteristic
• Formulas of F-thresholds and F-jumping coefficients on toric rings
• F-thresholds of hypersurfaces
• F-thresholds, tight closure, integral closure, and multiplicity bounds