Timeline for Do torsors give a long exact sequence of cohomology?
Current License: CC BY-SA 3.0
11 events
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| Aug 27, 2020 at 14:25 | vote | accept | R.P. | ||
| Feb 11, 2013 at 13:57 | history | edited | R.P. | CC BY-SA 3.0 |
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| Feb 4, 2013 at 23:21 | comment | added | R.P. | Thank you, Will, this is indeed part of the motivation for my question. I should have included it in the post. | |
| Feb 4, 2013 at 21:47 | answer | added | Tomer Schlank | timeline score: 9 | |
| Feb 4, 2013 at 20:20 | comment | added | Will Sawin | If $G \to Y \to X$ is an exact sequence of group schemes, then $Y \to X$ is a $G$-torsor, and your exact sequence is part of the standard long exact sequence of group cohomology. So an answer would presumably be a generalization of that exact sequence to other cases. I do not know anything about the homotopy-theory or other considerations that would enable someone to generalize this to higher degree cohomology groups. | |
| Feb 4, 2013 at 20:04 | history | edited | R.P. | CC BY-SA 3.0 |
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| Feb 4, 2013 at 18:30 | history | edited | R.P. | CC BY-SA 3.0 |
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| Feb 4, 2013 at 18:24 | history | edited | R.P. | CC BY-SA 3.0 |
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| Feb 4, 2013 at 16:36 | history | edited | R.P. | CC BY-SA 3.0 |
G has to be finite-type, so removed parentheses
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| Feb 4, 2013 at 15:07 | history | edited | R.P. | CC BY-SA 3.0 |
some elaboration
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| Feb 4, 2013 at 14:11 | history | asked | R.P. | CC BY-SA 3.0 |