manuscripta mathematica

, Volume 25, Issue 4, pp 323–347

Monads and moduli of vector bundles

  • Wolf Barth
  • Klaus Hulek


Horrocks has shown that every vector bundle on ℙ2 and ℙ3 admits a certain “double-ended resolution” by line bundles, which he called a monad. We reprove Horrocks' results taking much care of uniqueness of the monads so obtained. This technique should be useful for constructing moduli spaces of stable vector bundles.


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Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • Wolf Barth
    • 1
  • Klaus Hulek
    • 1
  1. 1.Mathematisches InstitutUniversität Erlangen-NürnbergErlangenWest-Germany

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