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, MR0344507 
• 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, MR0035831, http://www.numdam.org/item?id=BSMF_1950__78__1_0 
• Onishchik, A.L. (2001), "Coherent analytic sheaf", in Hazewinkel, Michiel, Encyclopedia of Mathematics, Springer, ISBN 978-1556080104, http://www.encyclopediaofmath.org/index.php?title=c/c022990