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, Volume 19, Issue 1, pp 57–74 | Cite as

Existence and approximation theorems on a weakly 1-complete analytic space

  • Hideaki Kazama


Let (X,XΘ) be a weakly 1-complete analytic space with an exhausting plurisubharmonic function
, B a positive line bundle over X and
a coherent analytic sheaf on X. Then, for any c, d ∈ ℝ(c<d), there exists a positive integer p0 such that the restriction mapping
has a dense image for P≧P0, where
for all a ∈ ℝ. An existence theorem for sections of sheaf
is also given.


Positive Integer Line Bundle Number Theory Algebraic Geometry Topological Group 
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Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • Hideaki Kazama
    • 1
  1. 1.Department of Mathematics College of General EducationKyushu UniversityFukuokaJapan

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