Applications of Theorems A and B

  • Hans Grauert
  • Reinhold Remmert
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 236)

Abstract

In this chapter we give some of the significant classical applications of Theorems A and B. Along with the Cousin problems and the Poincaré problem, we carry out a detailed discussion of Stein algebras. We also become quite involved with the problem of topologizing the module of sections S(X) of a coherent sheaf.

Keywords

Complex Space Complex Manifold Coherent Sheaf Divisor Class Stein Manifold 
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 1979

Authors and Affiliations

  • Hans Grauert
    • 1
  • Reinhold Remmert
    • 2
  1. 1.Mathematisches InstitutUniversität GöttingenGöttingenFederal Republic of Germany
  2. 2.Mathematisches InstitutWestfälischen Wilhelms-UniversitätMünsterFederal Republic of Germany

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