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For questions on the Hilbert function and Hilbert polynomial of graded algebras over fields.

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Hilbert Regularity in relation to degree of generators

Let $I=(x^{10},y^{10})$. The maximum degree of a generator is 10. The Hilbert polynomial is 0, but the function does not attain this value until degree 19, so your guess isn't correct. It is related t …
John Perry's user avatar