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Bass numbers of local cohomology modules with supports in monomial ideals

Published online by Cambridge University Press:  26 October 2001

KOHJI YANAGAWA
KOHJI YANAGAWA
Affiliation:
Graduate School of Science, Osaka University, Toyonaka, Osaka 560, Japan. e-mail: [email protected]
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Abstract

In this paper, we will study the local cohomology modules HiI(S) of a polynomial ring S = k[x1, …, xn] with supports in a (radical) monomial ideal I. When S/I is a Cohen–Macaulay ring of dimension d (more generally, if Extn−d(S/I, [wfr ]S) is Cohen–Macaulay), we can ‘visualize’ a ℤn-graded minimal injective resolution of Hn−dI(S) using Stanley–Reisner's simplicial complex of I.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 131 , Issue 1 , July 2001 , pp. 45 - 60
Copyright
2001 Cambridge Philosophical Society

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