Timeline for When does sheaf cohomology commute with arbitrary direct sums?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Sep 13, 2014 at 8:34 | comment | added | Martin Brandenburg | Direct sums are filtered colimits of finite direct sums. And finite direct sums are no problem. | |
| Sep 12, 2014 at 21:54 | comment | added | Damien L | If I am not mistaken, direct sums are not special cases of filtered colimits. | |
| Feb 11, 2013 at 21:12 | vote | accept | Lennart Meier | ||
| Feb 6, 2013 at 3:38 | comment | added | Lennart Meier | Since etale maps are open, it seems to suffice that every etale map to the given Deligne--Mumford stack has quasi-compact source. This should be implied by the stack being noetherian. Thanks. | |
| Feb 5, 2013 at 9:48 | history | edited | Martin Brandenburg | CC BY-SA 3.0 |
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| Feb 5, 2013 at 9:27 | comment | added | Martin Brandenburg | This also applies to algebraic stacks, when their cohomology is defined as usual for the etale site (but I'm not sure if this is the correct definition). | |
| Feb 5, 2013 at 9:19 | history | answered | Martin Brandenburg | CC BY-SA 3.0 |