@article{6899b986551c49acba8b6edf7cfed7b6,
title = "Torsion of abelian varieties over large algebraic fields",
abstract = "We prove: Let A be an abelian variety over a number field K. Then K has a finite Galois extension L such that for almost all σ∈Gal(L) there are infinitely many prime numbers l with Al({\~K}(σ))≠0.Here {\~K} denotes the algebraic closure of K and {\~K}(σ) the fixed field in {\~K} of σ. The expression {"}almost all σ{"} means {"}all but a set of σ of Haar measure 0{"}.",
keywords = "Linear algebraic groups, Mumford-Tate group, Torsion of abelian varieties",
author = "Geyer, {Wulf Dieter} and Moshe Jarden",
note = "Funding Information: $Research supported by the Minkowski Center for Geometry at Tel Aviv University, established by the Minerva Foundation. The main body of this work consists of constructing N, L, H, and Hˆ as above out of results of Serre lectured by him during 1985–86 in Coll{\`e}ge de France. ·Corresponding author. E-mail address: geyer@mi.uni-erlangen.de (W.-D. Geyer).",
year = "2005",
month = jan,
doi = "10.1016/j.ffa.2004.02.004",
language = "אנגלית",
volume = "11",
pages = "123--150",
journal = "Finite Fields and Their Applications",
issn = "1071-5797",
publisher = "Academic Press Inc.",
number = "1",
}