The Bi-Canonical Degree of a Cohen-Macaulay Ring
Commutative Algebra
2019-01-23 v2
Abstract
This paper is a sequel to [8] where we introduced an invariant, called canonical degree, of Cohen-Macaulay local rings that admit a canonical ideal. Here to each such ring with a canonical ideal, we attach a different invariant, called bi-canonical degree, which in dimension 1 appears also in [12] as the residue of a ring. The minimal values of these functions characterize specific classes of Cohen-Macaulay rings. We give a uniform presentation of such degrees and discuss some computational opportunities offered by the bi-canonical degree.
Keywords
Cite
@article{arxiv.1711.09480,
title = {The Bi-Canonical Degree of a Cohen-Macaulay Ring},
author = {L. Ghezzi and S. Goto and J. Hong and H. L. Hutson and W. V. Vasconcelos},
journal= {arXiv preprint arXiv:1711.09480},
year = {2019}
}