{ "id": "math/0605122", "version": "v2", "published": "2006-05-04T13:14:56.000Z", "updated": "2009-10-12T12:16:14.000Z", "title": "Castelnuovo-Mumford regularity of canonical and deficiency modules", "authors": [ "Lê Tuân Hoa", "Eero Hyry" ], "comment": "An error in Lemma 12 is corrected. As a consequence, the statement and the proof of Theorem 9 have been modified. We are grateful for Manoj Kumini and Satoshi Murai for raising a question which led to the discovery of this error", "categories": [ "math.AC" ], "abstract": "We give two kinds of bounds for the Castelnuovo-Mumford regularity of the canonical module and the deficiency modules of a ring, respectively in terms of the homological degree and the Castelnuovo-Mumford regularity of the original ring.", "revisions": [ { "version": "v2", "updated": "2009-10-12T12:16:14.000Z" } ], "analyses": { "subjects": [ "13D45" ], "keywords": [ "castelnuovo-mumford regularity", "deficiency modules", "canonical module" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......5122T" } } }