Estimates for F-jumping numbers and bounds for Hartshorne-Speiser-Lyubeznik numbers
arXiv:1110.5687 · doi:10.1215/00277630-2077035
Abstract
Given an ideal J on a smooth variety in characteristic zero, we estimate the F-jumping numbers of the reductions of J to positive characteristic in terms of the jumping numbers of J and the characteristic. We apply one of our estimates to bound the Hartshorne-Speiser-Lyubeznik invariant for the reduction to positive characteristic of a hypersurface singularity.
24 pages; v.2: minor changes, to appear in Nagoya Math. J