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The global ring of a smooth projective surface

Dipartimento di Matematica e Informatica
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  • Mathematics


Let X be a smooth projective variety over an algebraically closed field k. We associate to X , in a functorial way, a multigraded k-algebra G(X), called the global ring of X . We find some results when dim X = 2, and we explicitly determine the global ring in two particular cases.

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