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arXiv · 1711.09480

The Bi-Canonical Degree of a Cohen-Macaulay Ring

L. Ghezzi·S. Goto·J. Hong·H. L. Hutson·W. V. Vasconcelos
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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.

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L. Ghezzi, S. Goto, J. Hong, H. L. Hutson, W. V. Vasconcelos. 2017-11-26. The Bi-Canonical Degree of a Cohen-Macaulay Ring. https://arxiv.org/abs/1711.09480

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