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Algebraic Geometry pp 7–17Cite as

Monads and cohomology modules of rank 2 vector bundles

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Abstract

Monads are a useful tool to construct and study rank 2 vector bundles on the complex projective space ℙn, n ≥ 2 (compare [O-S-S]). Horrocks’ technique of eliminating cohomology [Ho 2] represents a given rank 2 vector bundle ℰ as the cohomology of a monad

$$ \left( {M\left( \mathcal{E} \right)} \right)\mathcal{A}\xrightarrow{\varphi }\mathcal{B}\xrightarrow{\psi }\varphi $$

as follows.

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References

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Author information

Authors and Affiliations

  1. Fachbereich Mathematik, Universität Kaiserslautern, Erwin-Schrödinger-Straße, 6750, Kaiserslautern, Germany

    Wolfram Decker

Authors
  1. Wolfram Decker
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Editor information

Editors and Affiliations

  1. Sektion Mathematik, Berlin, Germany

    H. Kurke

  2. Mathematical Institute, Nijmegen, The Netherlands

    J. H. M. Steenbrink

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© 1990 Kluwer Academic Publishers. Printed in the Netherlands

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Decker, W. (1990). Monads and cohomology modules of rank 2 vector bundles. In: Kurke, H., Steenbrink, J.H.M. (eds) Algebraic Geometry. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0685-3_2

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  • DOI: https://doi.org/10.1007/978-94-009-0685-3_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6793-5

  • Online ISBN: 978-94-009-0685-3

  • eBook Packages: Springer Book Archive

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