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For questions on the Hilbert function and Hilbert polynomial of graded algebras over fields.
11
votes
Accepted
Hilbert polynomials of graded algebras evaluated at negative numbers
This answer is essentially the same as that of Phil Tosteson, written
before I saw that post. I also mention a non-Cohen-Macaulay example at
the end.
If $R$ is Cohen-Macaulay (but not necessarily gene …