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User comments
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Hyperelliptic example
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Everett Howe
06/17/2010 17:13
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The cited reference gives as an example the plane quartic
x^4 + y^4 + z^4 + c*(x^2*y^2 + x^2*z^2 + y^2*z^2) = 0
where c satisfies c^2 + 3*c + 1 = 0.
A hyperelliptic example is provided by the curve
y^2 = (x + 2)*(x + 10)*(x^2 + 6)*(x^2 + 10)*(x^2 + 6*x + 3).
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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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