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Self-linked curve singularities

Published online by Cambridge University Press:  22 January 2016

Jürgen Herzog  and
Bernd Ulrich
Jürgen Herzog
Affiliation:
Fachbereich Mathematik, Universität-Gesamthochschule-Essen, Universitätstrasse 3, 4300 Essen, Germany
Bernd Ulrich
Affiliation:
Department of Mathematics, Michigan State University, East Lansing, Michigan 48824, USA
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Let S be a three-dimensional regular local ring and let I be a prime ideal in S of height two. This paper is motivated by the question of when I is a set-theoretic complete intersection and when the symbolic Rees algebra S(I) = ⊕n≥0I(n)tn is Noetherian. The connection between the two problems is given by a result of Cowsik which says that the Noetherian property of S(I) implies that I is a set-theoretic complete intersection ([1]).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 120 , December 1990 , pp. 129 - 153
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1990

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