Timeline for Why should the number of $\mathbb{F}_q$ points on degree $d$ curves $C\subset \mathbb{P}_{\mathbb{F}_q}^n$ decrease as $n$ increases?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Aug 19, 2020 at 22:05 | vote | accept | TomGrubb | ||
| Aug 18, 2020 at 17:58 | comment | added | Gjergji Zaimi | @WillSawin I changed it to just say weaker. The papers above do some work to really refine this bound and settle the conjecture in dimensions $2,3$. So the problem gets harder the higher $n$ (and therefore $d$) gets, but that's where this bound starts getting worse. | |
| Aug 18, 2020 at 17:56 | history | edited | Gjergji Zaimi | CC BY-SA 4.0 |
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| Aug 18, 2020 at 17:50 | comment | added | Will Sawin | Is this really much weaker? It seems only a little bit weaker to me. | |
| Aug 18, 2020 at 16:43 | comment | added | TomGrubb | Thanks for your answer Gjergji. I'd like to leave the question up just a bit longer to see if it attracts any other discussion, but this does help. | |
| Aug 18, 2020 at 0:58 | history | answered | Gjergji Zaimi | CC BY-SA 4.0 |