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A hyperelliptic example
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Everett Howe
06/17/2010 17:15
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The cited reference gives as an example the plane quartic x^4 + y^4 + z^4 = 0. A paper of Kodama, Top, and Washio ("Maximal hyperelliptic curves of genus three", Finite Fields Appl. 15 (2009) 392–403) points out that the hyperelliptic curve y^2 = x^7 + x provides another example.
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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). |
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| Tags |
Hasse-Weil-Serre bound |
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