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Cox ring

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James mckernan toric varieties via the cox ring


In algebraic geometry, a Cox ring is a sort of universal homogeneous coordinate ring for a projective variety, and is (roughly speaking) a direct sum of the spaces of sections of all isomorphism classes of line bundles. Cox rings were introduced by Hu & Keel (2000), based on an earlier construction by Cox (1995) for toric varieties.

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References

Cox ring Wikipedia