Beilinson-Kato elements in K_2 of modular curves - ENS de Lyon - École normale supérieure de Lyon Accéder directement au contenu
Article Dans Une Revue Acta Arithmetica Année : 2008

Beilinson-Kato elements in K_2 of modular curves

Résumé

This article investigates explicit linear dependence relations in the K_2-group of modular curves. In particular, it is shown that the Beilinson-Kato elements in K_2 of the modular curve Y(N) satisfy the Manin relations when N is not divisible by 3. Similar results are obtained for the modular curves X_1(N) and X_0(N) when N is prime. Finally we exhibit explicit generators of K_2, assuming the Beilinson conjecture.
Fichier non déposé

Dates et versions

hal-00561919 , version 1 (02-02-2011)

Identifiants

  • HAL Id : hal-00561919 , version 1

Citer

François Brunault. Beilinson-Kato elements in K_2 of modular curves. Acta Arithmetica, 2008, 134 (3), pp.283-298. ⟨hal-00561919⟩

Collections

ENS-LYON CNRS UDL
602 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More