Hopf manifolds and vector bundles on projective spaces
type: Item
instance of: scholarly article
title: Hopf manifolds and vector bundles on projective spaces
zbMATH Open document ID: 0849.57025
DOI: 10.1007/BF02940783
author: Daniel Mall
published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
publication date: 1996-11-05T00:00:00Z
review text: The purpose of this note is to show how results on vector bundles over a Hopf manifold, a non algebraic manifold, can be interpreted as generalizations of well-known results on vector bundles on projective spaces. In this fashion a theorem of \textit{J.-P. Serre} [Ann. Inst. Fourier 16, 363-374 (1966; Zbl 0144.08003)] and a theorem of \textit{A. Grothendieck} [Am. J. Math. 79, 121-138 (1957; Zbl 0079.17001)] are reproved.
Mathematics Subject Classification ID: 57R22
Mathematics Subject Classification ID: 32L05
Mathematics Subject Classification ID: 14F05
zbMATH DE Number: 706671
zbMATH Keywords: vector bundles
zbMATH Keywords: Hopf manifold
MaRDI profile type: Publication
cites work: Vector Bundles Over an Elliptic Curve
cites work: Sur La Classification Des Fibres Holomorphes Sur La Sphere de Riemann
cites work: Q3705697
cites work: On holomorphic vector bundles on Hopf manifolds with trivial pullback on the universal covering
cites work: Filtrable bundles of rank 2 on Hopf surfaces
cites work: Vector bundles on complex projective spaces
cites work: Prolongement de faisceaux analytiques cohérents
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description: scientific article; zbMATH DE number 706671