Discreteness and rationality of F-thresholds
Algebraic Geometry
2011-02-18 v2 Commutative Algebra
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 . 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.
Cite
@article{arxiv.math/0607660,
title = {Discreteness and rationality of F-thresholds},
author = {Manuel Blickle and Mircea Mustaţǎ and Karen E. Smith},
journal= {arXiv preprint arXiv:math/0607660},
year = {2011}
}
Comments
21 pages, fully revised version. to appear in Michigan Math Journal