Cox ring

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In algebraic geometry, a Cox ring (or total coordinate 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 David A. Cox in 1995 for toric varieties.

References

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