The bi-canonical degree of a Cohen–Macaulay ring

Laura Ghezzi, H. L. Hutson, Wolmer V. Vasconcelos, Shiro Goto, Jooyoun Hong

doi:10.48550/arxiv.1711.09480

説明

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.

収録刊行物

Journal of Algebra

Journal of Algebra 571 55-74, 2021-04-01

Elsevier BV

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詳細情報詳細情報について

CRID: 1871428067617948032

DOI: 10.1016/j.jalgebra.2018.12.013; 10.48550/arxiv.1711.09480

ISSN: 00218693

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OpenAIRE

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