About: Projective bundle

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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.

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  • 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. (en)
  • Inom matematiken är en projektiv knippe en vars fibrer är . Varje vektorknippe över en varietet X ger en projektiv knippe genom att ta de projektiva rummen av fibrerna, men alla projektiva knippen fås inte på detta sätt: det finns en i kohomologigruppen H2(X,O*). (sv)
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  • 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. (en)
  • Inom matematiken är en projektiv knippe en vars fibrer är . Varje vektorknippe över en varietet X ger en projektiv knippe genom att ta de projektiva rummen av fibrerna, men alla projektiva knippen fås inte på detta sätt: det finns en i kohomologigruppen H2(X,O*). (sv)
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  • Projective bundle (en)
  • Projektiv knippe (sv)
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