Math Seminars.

Moshe Jarden (Tel Aviv University),
Torsion on Abelian Varieties over Large Algebraic Fields.


A conjecture of Geyer and the speaker from 1978 asserts finiteness and infiniteness of the torsion part of abelian varieties over large algebraic fields. A theorem of Geyer and the speaker says the conjecture holds for elliptic curve. The aim of the talk is to prove several parts of the conjecture for arbitrary abelian varieties.