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The Largest Non-vanishing Degree of Graded Local Cohomology Modules

✍ Scribed by Ngô Viêt Trung

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 136 KB
Volume: 215
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7735

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✦ Synopsis

This paper gives characterizations for the largest non-vanishing degree of the local cohomology modules of a graded ring S in terms of a reduction of S and of q the associated graded ring of an ideal I in terms of any reduction of I. As a consequence, this invariant can be computed explicitly for the associated graded ring of any ideal generated by a d-sequence and of ideals having small analytic deviation.