projectivization

== English == === Alternative forms === projectivisation === Etymology === From projective +‎ -ization. === Noun === projectivization (plural projectivizations) (mathematics, algebraic geometry, birational geometry) A process (more formally, a mapping) that, given a vector space, specifies an associated projective space; (loosely) the projective space so specified. 1997, M. E. Alferieff (translator), Alexei Kostrikin, Yuri Manin, Linear Algebra and Geometry, Gordon and Breach Science Publishers, Paperback, page 233, Therefore, the projectivization P ( f ) {\displaystyle P(f)} is determined only on the complement U f = P ( L ) ∖ P ( ker ⁡ f ) {\displaystyle U_{f}=P(L)\backslash P(\ker f)} . ==== Related terms ==== projectivize projectivized ==== Translations ==== === See also === blowup === Further reading === Blowing up on Wikipedia.Wikipedia Projective space on Wikipedia.Wikipedia Algebraic geometry of projective spaces on Wikipedia.Wikipedia