Timeline for k-points of an exact sequence of algebraic varieties
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 23, 2019 at 8:56 | vote | accept | tanjia | ||
| Jul 23, 2019 at 7:05 | comment | added | Victor Petrov | Oh yes, I missed "geometrically reduced" condition. | |
| Jul 23, 2019 at 5:37 | answer | added | dorebell | timeline score: 7 | |
| Jul 23, 2019 at 1:44 | comment | added | tanjia | Thanks for your comments, but I think that $N=\mu_2$ is not smooth, because it is not geometrically reduced. | |
| Jul 22, 2019 at 18:02 | comment | added | Victor Petrov | Hmm, not so sure actually. Try $N=\mu_2$ (and $G=G'={\mathbb G}_m$, say) and $K$ is the separable closure of ${\mathbb F}_2(t)$. However, this certainly works if $N$ is smooth. | |
| Jul 22, 2019 at 17:56 | comment | added | Victor Petrov | This amounts to the question whether $H^1_{fppf}(K,N)$ is trivial for flat $N$ and separably closed $K$. I am pretty sure that the answer is yes, but can't find a reference right now. | |
| Jul 22, 2019 at 15:05 | review | First posts | |||
| Jul 22, 2019 at 18:03 | |||||
| Jul 22, 2019 at 15:02 | history | asked | tanjia | CC BY-SA 4.0 |