Timeline for what's the cohomological dimension of a Stein space?
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| S Jul 2, 2022 at 20:21 | history | suggested | Z. M | CC BY-SA 4.0 |
The question is about Stein spaces, not just manifolds. Correct the word & retag.
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| Jul 2, 2022 at 19:03 | review | Suggested edits | |||
| S Jul 2, 2022 at 20:21 | |||||
| Apr 17, 2014 at 5:44 | comment | added | abx | @Eric: What does your statement about noetherian schemes mean? Which topology are you using? | |
| Apr 16, 2014 at 21:03 | history | edited | András Bátkai | CC BY-SA 3.0 |
formatted
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| Apr 16, 2014 at 20:50 | answer | added | Georges Elencwajg | timeline score: 5 | |
| Apr 15, 2014 at 15:56 | comment | added | user76758 | For any (paracompact Hausdorff) complex-analytic space it coincides with twice the analytic dimension (for killing abelian sheaf cohomology, not just for sheaves of $\mathbf{C}$-vector spaces). This follows from properties of topological dimension of paracompact Hausdorff spaces via the "covering" definition (see Engelking's topology book) and the use of Cech theory to compute abelian sheaf cohomology on paracompact Hausdorff spaces. The crux is that locally such spaces are "proper with finite fibers" over an open ball. For $H_c$ the covering method should still work (via spectral sequence). | |
| Apr 15, 2014 at 15:17 | comment | added | Stefan Kohl♦ | I think the readability of the second paragraph of your question could benefit from a reformulation. | |
| Apr 15, 2014 at 15:07 | review | First posts | |||
| Apr 15, 2014 at 15:17 | |||||
| Apr 15, 2014 at 14:47 | history | asked | Eric | CC BY-SA 3.0 |