Projectivization

Quick meaning: Projectivization is a noun meaning (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.

Meaning

(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.

Example Sentences

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) is determined only on the complement U_f=P(L)P( ker f).

Let us consider the vector space T#95;p. Its projectivization #123;PT#125;#95;p, is a projective space, which is obtained from T#95;p, by factorization relative to the collinearity of vectors. The projectivization #123;PT#125;#95;p is a set of straight lines, passing through the point p. Under projectivization, the cone C(2,r) becomes a manifold S(1,r-1) of dimension r.

Word Forms

• projectivizations
• projectivisation

Related Words

Related dictionary entries include projectivisation, projectivity, projective, projector, projection, eigenprojection.

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