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, Volume 29, Issue 1, pp 11–28 | Cite as

On stable and uniform rank-2 vector bundles on P2 in characteristic p

  • Herbert Lange


The uniform rank-2 vector bundles on Pn are determined and the behaviour of the stable rank-2 vector bundles on P2 under restriction to a general line is studied, where Pn denotes the n-dimensional projective space over an algebraically closed field of positive characteristic.


Vector Bundle Number Theory Projective Space Algebraic Geometry Topological Group 
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    Lange, H.: The stability-degree of a rank-2 vector bundle on P2, Notas e Comunicacoes de Matemática No. 91, Universidade Federale de Pernambuco, Recife (1978)Google Scholar
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    Maruyama, M.: On a family of algebraic vector bundles, volume in honour of Y. Akizuki, Tokyo (1965)Google Scholar
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    Sato, E.: Uniform vector bundles on a projective space. J. Math. Soc. Japan 28, (1976)Google Scholar
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    van de Ven, A.: On Uniform Vector Bundles. Math. Ann. 195 (1972)Google Scholar

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Herbert Lange
    • 1
  1. 1.Mathematisches InstitutUniversität Erlangen-NürnbergErlangenWest-Germany

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