analytic sheaf

Let M be a complex manifoldMathworldPlanetmath. Let 𝒪 be the sheaf of germs of analytic functionsMathworldPlanetmath (which is a sheaf of rings) and let be a sheaf of 𝒪-modules. is then called an analytic sheaf.


Suppose X is an analytic vector bundle over M. Then the sheaf of germs of analytic sections of X is an analytic sheaf.


The sheaf of germs of meromorphic functions on M is an 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 analytic sheaf
Canonical name AnalyticSheaf
Date of creation 2013-03-22 17:39:02
Last modified on 2013-03-22 17:39:02
Owner jirka (4157)
Last modified by jirka (4157)
Numerical id 5
Author jirka (4157)
Entry type Definition
Classification msc 32C35