The Existence of Sections of Sheaves

  • George R. Kempf
Part of the Universitext book series (UTX)

Abstract

Let (α, H) be A.-H. data for a complex torus V/L. Our objective is
  1. Theorem 2.1
    The space Γ(V/L, ℒ(α, H)) of holomorphic sections of ℒ(α, H) is non-zero if and only if both
    1. a)

      H is positive semi-definite and

       
    2. b)

      α is identically one on L ∩ KerH.

       
     

Keywords

Manifold 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • George R. Kempf
    • 1
  1. 1.Department of MathematicsJohn Hopkins UniversityBaltimoreUSA

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