Oka coherence theorem

Oka coherence theorem: In mathematics, the Oka coherence theorem, proved by Kiyoshi Oka (1950), states that the sheaf of holomorphic functions over a complex manifold is coherent.

References

Hörmander, Lars (1990), An introduction to complex analysis in several variables, Amsterdam: North-Holland, ISBN 978-0-444-88446-6, MR 0344507

Oka, Kiyoshi (1950), "Sur les fonctions analytiques de plusieurs variables. VII. Sur quelques notions arithmétiques", Bulletin de la Société Mathématique de France 78: 1–27, ISSN 0037-9484, MR 0035831, http://www.numdam.org/item?id=BSMF_1950__78__1_0

Onishchik, A.L. (2001), "Coherent analytic sheaf", in Hazewinkel, Michiel, Encyclopaedia of Mathematics, Springer, ISBN 978-1556080104, http://eom.springer.de/c/c022990.htm

Categories:
Complex analysis
Theorems in complex analysis

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