Discreteness and rationality of F-thresholds

By Manuel Blickle, Mircea Mustactva, Karen E. Smith. 2006

170 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/270958c60254ca0b4f9ced859c47befb357acc5f