Kęstutis Česnavičius, Marc Hindry, Wieslawa Nizioł, Cathy Swaenepoel
Email des responsables :
cathy.swaenepoel@imj-prg.fr
Salle :
Adresse :
Description
http://www.imj-prg.fr/tn/STN/stnj.html
Orateur(s)
Samir Siksek - University of Warwik,
Titre
Chabauty for symmetric powers of curves
Date
03/03/2008
Horaire
14:00 à 16:00
Diffusion
Résume
habauty 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.
