Timeline for How many ways are there to pick $n$ points on the finite affine plane $(\Bbb F_q)^2$ such that no three are collinear?
Current License: CC BY-SA 4.0
5 events
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Jan 13, 2023 at 19:06 | answer | added | Roland Bacher | timeline score: 1 | |
Jan 13, 2023 at 16:58 | comment | added | Akiva Weinberger | Interesting. It seems to me to be a very natural concept so I'm not surprised that it has a name (though that almost feels like the worst name choice possible…! EDIT: Oh, I see, they generalize conics). Hopefully the knowledge from projective geometry helps in the affine case. | |
Jan 13, 2023 at 16:53 | comment | added | Tom De Medts | Just a comment: these objects are called arcs and have been well studied in projective geometry. See en.wikipedia.org/wiki/Arc_(projective_geometry). | |
Jan 13, 2023 at 16:45 | comment | added | Akiva Weinberger | Let's say the points are unlabeled, though it shouldn't matter in the grand scheme since it just changes $f_n(q)$ by a factor of $n!$. | |
Jan 13, 2023 at 16:44 | history | asked | Akiva Weinberger | CC BY-SA 4.0 |