complex projective lines

A form of complex projective line — A complex line (especially, the set of complex numbers regarded as such) endowed with a point at infinity (thus becoming a projective line); (more formally) the set of equivalence classes of ordered pairs (α, β) of complex numbers, not both zero, with respect to the equivalence relation "(α, β) ≡ (λα, λβ) for all nonzero complex λ".

Meanings

noun
  1. pluralplural of complex projective line
Cite this entry
APA

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

MLA

“complex projective lines.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/complex%20projective%20lines. Accessed November 4, 2026.

Chicago

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

Source: complex projective lines on Wiktionary, CC BY-SA 4.0.