Castelnuovo-Mumford regularity of canonical and deficiency modules
Commutative Algebra
2009-10-12 v2
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.
Cite
@article{arxiv.math/0605122,
title = {Castelnuovo-Mumford regularity of canonical and deficiency modules},
author = {Lê Tuân Hoa and Eero Hyry},
journal= {arXiv preprint arXiv:math/0605122},
year = {2009}
}
Comments
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