Cox ring

noun

A sort of universal homogeneous coordinate ring for a projective variety, and (roughly speaking) a direct sum of the spaces of sections of all isomorphism classes of line bundles.

Meanings

nounCox ring (plural Cox rings)

plural Cox rings

  1. algebraic geometryA sort of universal homogeneous coordinate ring for a projective variety, and (roughly speaking) a direct sum of the spaces of sections of all isomorphism classes of line bundles.

Origin

Named after David A. Cox, whose earlier construction led to these.

Full word history & related roots →
Cite this entry
APA

Cox ring. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Cox%20ring

MLA

“Cox ring.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Cox%20ring. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Cox ring,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Cox%20ring.

Source: Cox ring on Wiktionary, CC BY-SA 4.0.