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On the cofiniteness of local cohomology modules

Published online by Cambridge University Press:  24 October 2008

Donatella Delfino
Donatella Delfino
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, IN 47907-1395, USA
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Abstract

Let (R,m) be a local, noetherian, d-dimensional ring and let M be a finitely generated R-module. Since the local cohomology modules are artinian, is finitely generated for all i and j (see [4], Remark 1*middot;3 and 2·1). Grothendieck[2] made the following conjecture: If I is an ideal of a noetherian ring R, thenis finitely generated for all j.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 115 , Issue 1 , January 1994 , pp. 79 - 84
Copyright
Copyright © Cambridge Philosophical Society 1994

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References

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