Timeline for Birational geometry over finite fields
Current License: CC BY-SA 4.0
7 events
when toggle format | what | by | license | comment | |
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Dec 10, 2021 at 7:47 | comment | added | YCor | Also I find it confusing, especially in questions as you're asking, to denote $X_k$ both for "$X$ viewed as $k$-variety" and "the set of $k$-points of $X$". For instance, $X_k$ (set of points) can be empty but $X$ is not. | |
Dec 10, 2021 at 7:46 | comment | added | YCor | Do you assume $X$ is projective? Otherwise you can remove as many points as you like. | |
Dec 10, 2021 at 5:20 | answer | added | Jérémy Blanc | timeline score: 4 | |
Dec 10, 2021 at 5:06 | history | became hot network question | |||
Dec 9, 2021 at 22:11 | answer | added | Ben C | timeline score: 8 | |
Dec 9, 2021 at 20:20 | comment | added | Karl Schwede | If you are allowing rational maps, no, I could just let $X$ be the blowup of $P^n$ at some points (including infinitely near points), and there would be no bound I think. On the other hand even for a birational regular map (defined everywhere), one can glue all the closed points of P^n together, and then the target would have one closed point ($X$ would not be normal though). The existence of a map should be fine though, at least for all but finitely many $p>0$. | |
Dec 9, 2021 at 20:09 | history | asked | user114666 | CC BY-SA 4.0 |