An upper bound on the number of jumping coefficients of a principal ideal
Authors:
Mordechai Katzman, Gennady Lyubeznik and Wenliang Zhang
Journal:
Proc. Amer. Math. Soc. 139 (2011), 41934197
MSC (2010):
Primary 13A35, 13N10
Published electronically:
April 20, 2011
MathSciNet review:
2823064
Fulltext PDF
Abstract 
References 
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Additional Information
Abstract: We prove a result relating the Jacobian ideal and the generalized test ideal associated to a principal ideal in with or in with an arbitrary field of characteristic . As a consequence of this result, we establish an upper bound on the number of jumping coefficients of a principal ideal with an isolated singularity.
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Additional Information
Mordechai Katzman
Affiliation:
Department of Pure Mathematics, University of Sheffield, Hicks Building, Sheffield S3 7RH, United Kingdom
Email:
M.Katzman@sheffield.ac.uk
Gennady Lyubeznik
Affiliation:
Department of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
Email:
gennady@math.umn.edu
Wenliang Zhang
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
Email:
wlzhang@umich.edu
DOI:
http://dx.doi.org/10.1090/S000299392011108979
Keywords:
$F$jumping coefficient,
test ideal,
Jacobian ideal
Received by editor(s):
October 14, 2010
Published electronically:
April 20, 2011
Communicated by:
Harm Derksen
Article copyright:
© Copyright 2011
American Mathematical Society
