|
A finiteness criterion for cohomology of Fréchet-Montel sheaves
Author(s):
V.
D.
Golovin
Journal:
Proc. Amer. Math. Soc.
124
(1996),
3541-3544.
MSC (1991):
Primary 55N30;
Secondary 18F20, 32C35
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
The paper deals with a finiteness criterion for the cohomology with compact supports of calculable Fréchet-Montel sheaves over locally compact topological spaces.
References:
- 1.
- A. Andreotti and A. Kas, Duality on complex spaces, Ann. Scuola Norm. Super. Pisa, 27, No. 2, 187--263 (1973). MR 54:13117
- 2.
- H. Cartan and J.-P. Serre, Un théorème de finitude concernant les variétés analytiques compactes, C. R. Acad. Sci. Paris, 237, No. 2, 128--130 (1953). MR 16:517e
- 3.
- A. Grothendieck, Théorèmes de finitude pour la cohomologie des faisceaux, Bull. Soc. Math. France, 84, No. 1, 1--7 (1956). MR 18:327c
- 4.
- R. C. Gunning and H. Rossi, Analytic functions of several complex variables, Prentice-Hall Inc., Englewood Cliffs, N. J., 1965. MR 31:4927
- 5.
- A. Weil, Sur les théorèmes de de Rham, Comment. Math. Helv., 26, No. 2, 119--145 (1952). MR 14:307b
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(1991):
55N30,
18F20, 32C35
Retrieve articles in all Journals with MSC
(1991):
55N30,
18F20, 32C35
Additional Information:
V.
D.
Golovin
Affiliation:
Krasnoshkol\textprime naya nab., 22, kv. 185, 310125, Kharkov, 125 Ukraine
DOI:
10.1090/S0002-9939-96-03765-3
PII:
S 0002-9939(96)03765-3
Keywords:
Cohomology groups,
calculable sheaves,
finiteness theorems
Received by editor(s):
May 4, 1995
Communicated by:
Thomas Goodwillie
Copyright of article:
Copyright
1996,
American Mathematical Society
|
Comments: webmaster@ams.org