coherent analytic sheaf
is said to be locally finitely generated if for every , there is a neighbourhood of , a finite number of sections such that for each , is a finitely generated module (as an -module).
Let be a neighbourhood in and Suppose that are sections in . Let be the subsheaf of over consisting of the germs
is called the sheaf of relations.
is called a coherent analytic sheaf if is locally finitely generated and if for every open subset , and , the sheaf is locally finitely generated.
- 1 Lars Hörmander. , North-Holland Publishing Company, New York, New York, 1973.
- 2 Steven G. Krantz. , AMS Chelsea Publishing, Providence, Rhode Island, 1992.
|Title||coherent analytic sheaf|
|Date of creation||2013-03-22 17:39:05|
|Last modified on||2013-03-22 17:39:05|
|Last modified by||jirka (4157)|
|Defines||locally finitely generated sheaf|
|Defines||sheaf of relations|