Castelnuovo–Mumford Regularity of Some Modules

Abstract

We give bounds for the Castelnuovo–Mumford regularity of the so-called sequentially κ-Buchsbaum modules and of the canonical modules of certain rings.

Key Words:

• Buchsbaum
• Canonical module
• Castelnuovo–Mumford regularity
• Cohen–Macaulay

2000 Mathematics Subject Classification:

• 13D45

ACKNOWLEDGMENTS

The second named author had a useful discussion with Zarzuela on the second part of this article.

The authors were supported in part by the National Basic Research Program (Vietnam). The first author was also supported by the Société Aubonne (France).

Notes

Communicated by R. H. Villarreal