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Oka coherence theorem

Index Oka coherence theorem

In mathematics, the Oka coherence theorem, proved by, states that the sheaf of holomorphic functions over a complex manifold is coherent. [1]

4 relations: Coherent sheaf, Complex manifold, Holomorphic function, Sheaf (mathematics).

Coherent sheaf

In mathematics, especially in algebraic geometry and the theory of complex manifolds, coherent sheaves are a class of sheaves closely linked to the geometric properties of the underlying space.

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Complex manifold

In differential geometry, a complex manifold is a manifold with an atlas of charts to the open unit disk in Cn, such that the transition maps are holomorphic.

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Holomorphic function

In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighborhood of every point in its domain.

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Sheaf (mathematics)

In mathematics, a sheaf is a tool for systematically tracking locally defined data attached to the open sets of a topological space.

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Redirects here:

Oka's coherence theorem, Oka's theorem.

References

[1] https://en.wikipedia.org/wiki/Oka_coherence_theorem

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