Cartan theorem B

Theorem (Cartan).

Suppose F is a coherent analytic sheaf on a Stein manifold M. Then for k>0, then


Here, Hk(M,) is the kth cohomology groupPlanetmathPlanetmath valued in the 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 Cartan theorem B
Canonical name CartanTheoremB
Date of creation 2013-03-22 17:39:13
Last modified on 2013-03-22 17:39:13
Owner jirka (4157)
Last modified by jirka (4157)
Numerical id 5
Author jirka (4157)
Entry type Theorem
Classification msc 32Q28
Classification msc 32C35
Synonym Cartan’s theorem B
Related topic CartanTheoremA