Command not working

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iqra khan

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Jul 23, 2025, 12:38:07 PMJul 23
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Hello,

I hope you are doing well. Does anybody knows about the package for checking Cohen Macaulay of a quotient ring or module in Macaulay 2? I am using the package of Depth but it is not working.



Thanks

David Eisenbud

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Jul 24, 2025, 10:25:16 AMJul 24
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In many homogeneous cases the fastest thing is to write the ringor module M in terms of a graded polynomial ring and use the Auslander-Buchsbaum formula after using "minimalBetti res M" to compute the projective dimension.

--
David Eisenbud
Professor of Mathematics
University of California Berkeley


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