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On the vanishing and the positivity of intersection multiplicities over local rings with small non complete intersection loci

Published online by Cambridge University Press:  22 January 2016

Kazuhiko Kurano
Kazuhiko Kurano*
Affiliation:
Department of Mathematics, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji, Tokyo, 192-03, Japan e-mail address: kurano@math.metro-u.acjp
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Throughout this paper A is a commutative Noetherian ring of dimension d with the maximal ideal m and we assume that there exists a regular local ring S such that A is a homomorphic image of S, i.e., A = S/I for some ideal I of S. Furthermore we assume that A is equi-dimensional, i.e., dim A = dim A/ for any minimal prime ideal of A. We put

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Type
Research Article
Information
Nagoya Mathematical Journal , Volume 136 , December 1994 , pp. 133 - 155
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1994

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