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Tight Closure and Plus Closure for Cones Over Elliptic Curves

Published online by Cambridge University Press:  11 January 2016

Holger Brenner*
Affiliation:
Department of Pure Mathematics, University of Sheffield, Hicks Building, Hounsfield Road, Sheffield S3 7RH, United Kingdom, [email protected]
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Abstract

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We characterize the tight closure of a homogeneous primary ideal in a normal homogeneous coordinate ring over an elliptic curve by a numerical condition and we show that it is in positive characteristic the same as the plus closure.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2005

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