Mathematics - Algebraic Geometry; Mathematics - Commutative Algebra; Mathematics - Number Theory
Abstract :
[en] In this paper we prove the Geyer-Jarden conjecture on the torsion part of the Mordell-Weil group for a large class of abelian varieties defined over finitely generated fields of arbitrary characteristic. The class consists of all abelian varieties with big monodromy, i.e., such that the image of Galois representation on l-torsion points, for almost all primes l, contains the full symplectic group.
Disciplines :
Mathematics
Author, co-author :
Arias De Reyna Dominguez, Sara ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Gajda, Wojciech; Adam Mickiewicz University > Department of Mathematics
Petersen, Sebastian; Universität Kassel > Fachbereich Mathematik
Language :
English
Title :
Abelian varieties over finitely generated fields and the conjecture of Geyer and Jarden on torsion
