Timeline for Does a $K_{\upsilon}$-point of a variety $V$ give a point of $V$ in $K_{(\upsilon)}=K^{sep}\cap K_{\upsilon}$ for a global field $K$?
Current License: CC BY-SA 3.0
4 events
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| Jan 1, 2018 at 12:30 | comment | added | Frida | @Lucifer : Thank you very much for sharing this solution. I am really happy that I understand this case now. Do you maybe also have an idea how to deal with the case $K_{\upsilon}=\mathbb{R}$, since all of the above can't be used? | |
| Dec 27, 2017 at 23:14 | comment | added | Jason Starr | I see. We do not need to find a projective model of $V=\text{Spec}(R)$. We just need an affine scheme $\overline{V}=\text{Spec}(R')$ with the same generic fiber such that the $K_v$-point of $V$ extends to a section of $\overline{V}$ over the DVR of $K_v$. | |
| Dec 27, 2017 at 19:31 | review | First posts | |||
| Dec 27, 2017 at 19:43 | |||||
| Dec 27, 2017 at 19:29 | history | answered | Lucifer | CC BY-SA 3.0 |