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
Salle :
Adresse :



Orateur(s) Takao Yamazaki - ,
Titre Torsion points on Jacobian varieties via Anderson's p-adicsoliton theory.
Horaire14:00 à 16:00
RésumeAnderson introduced a p-adicversion of soliton theory. He applied it to the Jacobian variety of acyclic quotient of a Fermat curve and showed that torsion points ofcertain prime order lay outside of the theta divisor. We evolve histheory further by using the Artin-Hasse exponential and Hasse-Wittmatrix. As an application, we get stronger results on the intersectionof the theta divisor and torsion points on the Jacobian variety of amore general class of curves. (Joint work with S. Kobayashi. Reference:arXiv:1210.5838.)