Castelnuovo-Mumford regularity of canonical and deficiency modules

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.

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