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Mathematics  2011 

Estimates for F-jumping numbers and bounds for Hartshorne-Speiser-Lyubeznik numbers

DOI: 10.1215/00277630-2077035

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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.

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