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Holomorphic Vector Bundles and the Geometry of ℙn

  • Christian Okonek
  • Michael Schneider
  • Heinz Spindler
Part of the Progress in Mathematics book series (PM, volume 3)

Abstract

In this section we shall establish the notation and assemble the most important facts about the cohomology of projective spaces with coefficients in an analytic coherent sheaf. Then we shall recall the definition of the Chern classes of a vector bundle and for holomorphic bundles we shall interpret them in some cases as the dual classes of appropriate submanifolds.

Keywords

Exact Sequence Vector Bundle Line Bundle Complete Intersection Chern Class 
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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Copyright information

© Springer Science+Business Media New York 1980

Authors and Affiliations

  • Christian Okonek
    • 1
  • Michael Schneider
    • 1
  • Heinz Spindler
    • 1
  1. 1.Mathematische InstitutUniversitätGöttingenFederal Republic of Germany

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