|
|
|
|
Cartan theorem A
|
(Theorem)
|
|
|
Let
 denote the ring of germs of holomorphic functions at 
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.
|
"Cartan theorem A" is owned by jirka.
|
|
(view preamble | get metadata)
Cross-references: 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 701 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) |
|
|
|
|
|
|
Pending Errata and Addenda
|
|
|
|
|
|
|
|
|
|
|
