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Cartan theorem A
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(Theorem)
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Let $\mathcal{O}_z$ denote the ring of germs of holomorphic functions at $z$
Philosophically, this theorem says that there is good supply of global sections of a coherent analytic sheaf on a Stein manifold.
- 1
- Lars Hörmander. An Introduction to Complex Analysis in Several Variables, North-Holland Publishing Company, New York, New York, 1973.
- 2
- Steven G. Krantz. Function Theory of Several Complex Variables, AMS Chelsea Publishing, Providence, Rhode Island, 1992.
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"Cartan theorem A" is owned by jirka.
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Cross-references: theorem, module, stalk, Stein manifold, coherent analytic sheaf, holomorphic functions, germs, ring
There is 1 reference to this entry.
This is version 3 of Cartan theorem A, born on 2007-12-03, modified 2008-07-30.
Object id is 10086, canonical name is CartanTheoremA.
Accessed 1247 times total.
Classification:
| AMS MSC: | 32C35 (Several complex variables and analytic spaces :: Analytic spaces :: Analytic sheaves and cohomology groups) | | | 32Q28 (Several complex variables and analytic spaces :: Complex manifolds :: Stein manifolds) |
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Pending Errata and Addenda
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