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manuscripta mathematica

, Volume 24, Issue 2, pp 221–228 | Cite as

Complex 2 plane bundles over CP(n)

  • Larry Smith
Article

Abstract

The purpose of this note is to construct examples of non-trivial rank 2 complex bundles over CP(n) with vanishing Chern classes for all n≥5.

Keywords

Number Theory Algebraic Geometry Topological Group Chern Class Complex Bundle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    J. F. Adams, On the Groups J(X) IV, Topology 5 (1966), pp. 21–74.Google Scholar
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    W. Barthe, Some properties of stable rank 2 Bundles on Pn, Math.Ann 226 (1977), PP.125–150.Google Scholar
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    H. Grauert und M.Schneider, Komplexe Unterräume und holomorphe Vektorbündel vom Rang zwei, Math.Ann. 230 (1977) PP. 75–90.Google Scholar
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    Hardy and Wright, Number Theory, Oxford University Press Press, 1960.Google Scholar
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    L. Smith, Non-Singular Bilinear Forms IV, (to appear).Google Scholar
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    J.P.Serre, Groupes d'homotopie et Calsses des groupes Abéliens, Ann. of Math. 58 (1953), PP. 258–294Google Scholar
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    H.Toda, Composition Methods in the Homotopy Groups of Spheres, Annals of Math Study No. 49. (1962)Google Scholar

Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • Larry Smith
    • 1
  1. 1.Mathematisches Institut der Universität GöttingenGöttingenBundesrepublik Deutschland

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