Tight closure and plus closure for cones over elliptic curves

Tight closure and plus closure for cones over elliptic curves

Holger Brenner

Source: Nagoya Math. J. Volume 177 (2005), 31-45.

Abstract

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.

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Primary Subjects: 13A35, 14H60, 14H52, 14M20, 14C20

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.nmj/1114632157
Mathematical Reviews number (MathSciNet): MR2124546
Zentralblatt MATH identifier: 02166188

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