Cartan theorem B

Theorem (Cartan).

Suppose $\mathcal{F}$ is a coherent analytic sheaf on a Stein manifold $M$ . Then for $k>0$ , then

H^{k}(M,\mathcal{F})=0.

Here, $H^{k}(M,\mathcal{F})$ is the $k$ th cohomology group valued in the sheaf $\mathcal{F}$

References

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