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Stability

  • Robert Friedman
Chapter
  • 1.3k Downloads
Part of the Universitext book series (UTX)

Abstract

In this chapter, we shall define stability and investigate some of its elementary properties. After giving simple examples of stable bundles over curves and ℙ2, we describe unstable and strictly semistable bundles carefully and look at what happens when we change polarizations. The final section, which is not necessary for the rest of this book, describes the differential geometry of stable bundles.

Keywords

Exact Sequence Vector Bundle Line Bundle Bundle Versus Holomorphic Vector Bundle 
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 1998

Authors and Affiliations

  • Robert Friedman
    • 1
  1. 1.Department of MathematicsColumbia UniveristyNew YorkUSA

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