Applications of Theorems A and B

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


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.


Complex Space Complex Manifold Coherent Sheaf Divisor Class Stein Manifold 
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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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