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The lower semicontinuity of the Frobenius splitting numbers

Published online by Cambridge University Press:  08 October 2010

FLORIAN ENESCU
Affiliation:
Department of Mathematics and Statistics, Georgia State University Atlanta, GA 30303, U.S.A. e-mail: fenescu@gsu.edu and yyao@gsu.edu
YONGWEI YAO
Affiliation:
Department of Mathematics and Statistics, Georgia State University Atlanta, GA 30303, U.S.A. e-mail: fenescu@gsu.edu and yyao@gsu.edu

Abstract

We show that, under mild conditions, the (normalized) Frobenius splitting numbers of a local ring of prime characteristic are lower semicontinuous.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 2010

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References

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