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 
• Onishchik, A.L. (2001), "Coherent analytic sheaf", in Hazewinkel, Michiel, Encyclopedia of Mathematics, Springer, ISBN 978-1-55608-010-4