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| Submitted by |
Gerrit Oomens |
| Date |
01/01/1900 |
| Reference |
J-P. Serre
Nombre de points des courbes algébriques sur F_q
Sém. de Théorie des Nombres de Bordeaux, 1982/83, exp. no. 22. (= Oeuvres III, No. 129, p. 664-668). |
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| Tags |
Explicit curves |
User comments
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Explicit example
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Everett Howe
05/20/2010 21:54
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In his Harvard notes, Serre notes that a model of the Klein curve gives an example of a genus-3 curve with 24 points over F_8:
(x + y + z)^4 + (x*y + x*z + y*z)^2 + x*y*z*(x + y + z)
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| Submitted by |
Everett Howe |
| Date |
06/10/2010 |
| Reference |
Jean-Pierre Serre
Sur le nombre de points rationnels d'une courbe algébrique sur un corps fini
C. R. Acad. Sci. Paris Sér. I Math. 296 (1983), 397–402. (= Œuvres III, No. 128, 658–663). |
Comments
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| Tags |
Hasse-Weil-Serre bound |
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