| Title:
|
On the equivalence of algebraic and geometric local cohomology (English) |
| Author:
|
Sun, Shu-Hao |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
36 |
| Issue:
|
3 |
| Year:
|
1995 |
| Pages:
|
599-607 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we will present several necessary and sufficient conditions on a commutative ring such that the algebraic and geometric local cohomologies are equivalent. (English) |
| Keyword:
|
local cohomology |
| Keyword:
|
commutative ring |
| Keyword:
|
quasi-flabby |
| Keyword:
|
sheaf |
| Keyword:
|
localization |
| MSC:
|
13B30 |
| MSC:
|
13C10 |
| MSC:
|
13D45 |
| idZBL:
|
Zbl 0835.13003 |
| idMR:
|
MR1364500 |
| . |
| Date available:
|
2009-01-08T18:20:25Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118788 |
| . |
| Reference:
|
[1] Hartshorne R.: Algebraic Geometry.GTM 52, 1977. Zbl 0531.14001, MR 0463157 |
| Reference:
|
[2] Grothendieck A.: Local Cohomology.Lecture Notes in Mathematics 41, Springer-Verlag, 1967. Zbl 1079.14001, MR 0224620 |
| Reference:
|
[3] Call F.W.: Torsion theoretic algebraic geometry.Queen's Papers in Pure and Applied Mathematics 82 (1989). Zbl 0714.13011, MR 1005779 |
| . |
