The Existence of Sections of Sheaves

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


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.



Meromorphic Function Direct Summand Abelian Variety Global Section Holomorphic Section 
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-Verlag Berlin Heidelberg 1991

Authors and Affiliations

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

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