Cartan theorem A
Let denote the ring of germs ofholomorphic functions at
Theorem (Cartan).
Suppose is a coherent analytic sheaf on a Steinmanifold .For every , the the stalk is generated as an module by the germs at of the sections (http://planetmath.org/Sheaf) .
Philosophically, this theorem says that there is good supply of of a coherent analytic sheaf on a Stein manifold.
References
- 1 Lars Hörmander.,North-Holland Publishing Company, New York, New York, 1973.
- 2 Steven G. Krantz.,AMS Chelsea Publishing, Providence, Rhode Island, 1992.