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Oka coherence theorem

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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
  • Onishchik, A.L. (2001) [1994], "Coherent analytic sheaf", Encyclopedia of Mathematics, EMS Press
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