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Cofiniteness of local cohomology modules for ideals of dimension one

Published online by Cambridge University Press:  22 January 2016

Ken-Ichi Yoshida
Ken-Ichi Yoshida*
Affiliation:
Graduate School of Polymathematics, Nagoya University, Chikusa-ku, Nagoya 464-01, Japan, yoshida@math.nagoya-u.ac.jp
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Abstract

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In this paper, we prove that for any ideal I of dimension one is I-cofinite for all i and for any finite A-module M. Furthermore, for any ideal I over any regular local ring A, we investigate the relationship between I-cofiniteness and vanishing for local cohomology modules .

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 147 , September 1997 , pp. 179 - 191
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1997

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