Oka coherence theorem

Let M be a complex manifoldMathworldPlanetmath.


Suppose F is an analytic sheaf over M, that is a subsheaf of Ok. If F is a locally finitely generated sheaf, then F is a coherent analytic sheaf.


  • 1 Lars Hörmander. , North-Holland Publishing Company, New York, New York, 1973.
  • 2 Steven G. Krantz. , AMS Chelsea Publishing, Providence, Rhode Island, 1992.
Title Oka coherence theorem
Canonical name OkaCoherenceTheorem
Date of creation 2013-03-22 17:39:08
Last modified on 2013-03-22 17:39:08
Owner jirka (4157)
Last modified by jirka (4157)
Numerical id 5
Author jirka (4157)
Entry type Theorem
Classification msc 32C35
Synonym Oka theorem
Synonym Oka’s theorem
Synonym Oka’s coherence theorem