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

Mathematics – Commutative Algebra

Scientific paper

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24 pages

Scientific paper

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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