complex projective line (English, noun)
expansion: complex projective line (plural complex projective lines)
Senses:
topics: geometry
mathematics
sciences
qualifier: projective geometry
glosses: 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".
tags: analytic
Forms:
form: complex projective lines
tags: plural