Projective Bundle

(Algebraic Geometry)

Tech

sciences
Algebraic Geometry
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What is Projective bundle?

In mathematics, a projective bundle is a fiber bundle whose fibers are projective spaces. By definition, a scheme X over a Noetherian scheme S is a Pn-bundle if it is locally a projective n-space; i.e., and transition automorphisms are linear. Over a regular scheme S such as a smooth variety, every projective bundle is of the form for some vector bundle (locally free sheaf) E.

Technology Types

algebraic geometryalgebraic topology

Synonyms

Associated projective bundleProjective Hilbert bundleProjective space bundleProjective space bundlesProjectivized vector bundle

Translations

Projektiv knippe (sv)

Tech Info


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