Séminaires : Séminaire Théorie des Nombres

Equipe(s) : tn,
Responsables :Ziyang Gao, Marc Hindry, Bruno Kahn, João Pedro P. dos Santos
Email des responsables : ziyang.gao@imj-prg.fr
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Orateur(s) Samir Siksek - University of Warwik,
Titre Chabauty for symmetric powers of curves
Date03/03/2008
Horaire14:00 à 16:00
Résumehabauty is a classical method for computingthe rational points of curves of higher genus. In thistalk, we explain an adaptation of Chabauty whichallows us in many cases to compute all rational pointson the $d$-th symmetric power of a curve provided therank of the Mordell-Weil group of the Jacobian is atmost $g-d$ (where $g$ is the genus). We illustrate this bygiving two examples of genus $3$, one hyperelliptic andthe other plane quartic.
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