Stability and Moduli Spaces

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

Abstract

In this section we introduce the crucial concept of stability of holomorphic vector bundles over ℙn. We begin by collecting together several theorems about torsion-free, normal and reflexive sheaves which we shall need later. Then we define stable and semistable torsion-free sheaves in the sense of Mumford and Takemoto and compare this concept of stability with that of on (1)-stability as introduced by Gieseker and Maruvama. In a final section we investigate the stabilty of a number of bundles with which we became acquainted in earlier sections.

Keywords

Modulus Space Exact Sequence Line Bundle Spectral Sequence 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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