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| Submitted by |
Gerrit Oomens |
| Date |
01-01-1900 |
| Reference |
Jean-Pierre Serre
Quel est le nombre maximum de points rationnels que peut avoir une courbe algébrique de genre g sur un corps fini F_q?
Résumé des Cours de 1983-1984 (=Oeuvres III, No. 132, p. 701-705).
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Comments
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| Tags |
Explicit curves |
User comments
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Explicit example
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Everett Howe
05-20-2010 22:06
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In his Harvard notes, Serre gives an explicit example (which appears with a small misprint): The biquadratic extension of F_16(x) defined by
y^2 + y = x + r/x
z^2 + z = x + r/(x+1)
where r satisfies r^2 + r + 1 = 0.
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