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

3 votes
1 answer
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For a vector bundle over a curve, is there a condition on the Hilbert polynomial for no non-...

Assume we are over $\mathbb C$. Let $C$ be a complete algebraic curve, and $E$ an algebraic vector bundle. Its Hilbert polynomial is $$p(t)=rt+r(1-g)+d$$ where $r=\mathrm{rank}(E)$ and $d=\deg(E)$ and …
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