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

Published online by Cambridge University Press:  11 January 2016

Mircea Mustaţă  and
Wenliang Zhang
Mircea Mustaţă
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA, [email protected]
Wenliang Zhang*
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA
*
Department of Mathematics, University of Nebraska, Lincoln, NE 68588-0130, USA, [email protected]
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Abstract

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Given an ideal a on a smooth variety in characteristic zero, we estimate the F-jumping numbers of the reductions of a to positive characteristic in terms of the jumping numbers of a 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.

Keywords

13A3514B1514F18
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 210 , June 2013 , pp. 133 - 160
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2013

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