Oka coherence theorem

In mathematics, the Oka coherence theorem, proved by Template:Harvs, states that the sheaf ${𝒪}_{{ℂ}^n}$ of holomorphic functions on ${ℂ}^n$ (and subsequently the sheaf ${𝒪}_X$ of holomorphic functions on a complex manifold $X$) is coherent.

See also

• Cartan's theorems A and B
• Several complex variables
• GAGA
• Oka–Weil theorem
• Weierstrass preparation theorem

References

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