Oka coherence theorem

Let $M$ be a complex manifold.

Theorem.

Suppose $\mathrm{F}$ is an analytic sheaf over $M$, that is a subsheaf of ${\mathrm{O}}^k$. If $\mathrm{F}$ is a locally finitely generated sheaf, then $\mathrm{F}$ is a coherent analytic sheaf.

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