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| Submitted by |
Gerrit Oomens |
| Date |
01-01-1900 |
| Reference |
Jean-Pierre 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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Comments
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| Tags |
Methods from general class field theory |
User comments
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Explicit Curve
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S.E.Fischer
12-18-2014 15:19
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We can assume such a curve C as an estension E of degree 2 of an extension F of degree 2 of a maximal curve H of genus 2 as follows:
H:= y^3 * (x^3 + x^2 ) + (x^2+ x +1)*y + 1 ;
F/H := z^2 + z*x^2 + (x^3 + x^2)*y ;
E/(F/H) := v^2 + v*x^2 + x^2 + x .
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