8 citations · 14 across the 6 of their papers we have counts for
6 papers
Courbes de genre 3 avec S3 comme groupe d'automorphismes
Jean-Francois Mestre
this paper is devoted to the study of curves of genus 3 with group of automorphisms the symmetric group S3, principally over finite fields, in view to obtain optimal curves. For in…
Couples de Jacobiennes isogenes de courbes hyperelliptiques de genre arbitraire
Jean-Francois Mestre
For any genus g greater than 1, we construct a family of dimension g+1 of pairs of hyperelliptic curves of genus g whose jacobian are 2^g isogeneous. ----- Pour tout genre g superi…
Extensions generiques de groupe de Galois SL2(F3)
Jean-Francois Mestre
We prove that there exists a generic polynomial for the group Sl2(3); it is the group with smallest order for which it was not known if a such polynom can exist. Nous prouvons ici…
Correspondances compatibles avec une relation binaire, relevement d'extensions de groupe de Galois L3(2) et probleme de Noether pour L3(2)
J. -F. Mestre
We prove that for a system of indeterminates (X_a) indiced by the P^2(2), the projective plane over F_2, there exists a 3-3 correspondance compatible with the incidence structures…
Rang de courbes elliptiques d'invariant donne
Jean-Francois Mestre
We prove that there exist infinitely many elliptic curves over \Q with given modular invariant, and rank >=2. Furthermore, there exist infinitely many elliptic curves over $\Q$ wit…
Corps quadratiques dont le 5-rang du groupe des classes est >=3
Jean-Francois Mestre
We prove the existence of infinitely many real and imaginary fields whose 5-rank of the class group is >=3.