Timeline for About points on affine curves defined over finite fields
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
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| Feb 9, 2011 at 18:23 | comment | added | Hugo Chapdelaine | and I should say that for a proper divisor $d|n$ $\#C(\mathbb{F}_{q^d})=q^d+1+(error term)$ so weak estimates imply that $C(\mathbb{F}_{q^n})-\bigcup_{d|n,d\neq n}C(\mathbb{F}_{q^d})$ is larger than 1. | |
| Feb 9, 2011 at 17:44 | comment | added | Hugo Chapdelaine | Well now that I think it is obvious. If $C$ is the corresponding curve then we have an exact formula for $\#C(\mathbb{F}_{q^n})$. It is $q^n+1+(error term)$. Nous using weak Weil estimates we are done. | |
| Feb 9, 2011 at 17:42 | vote | accept | Hugo Chapdelaine | ||
| Feb 9, 2011 at 14:02 | history | answered | Charles Matthews | CC BY-SA 2.5 |