Seminar series
Date
Thu, 21 May 2009
17:00
Location
L3
Speaker
Moshe Jarden
Organisation
Tel Aviv

A theorem of Kuyk says that every Abelian extension of a

Hilbertian field is Hilbertian.

We conjecture that for an Abelian variety $A$ defined over

a Hilbertian field $K$

every extension $L$ of $K$ in $K(A_\tor)$ is Hilbertian.

We prove our conjecture when $K$ is a number field.

The proofs applies a result of Serre about $l$-torsion of

Abelian varieties, information about $l$-adic analytic

groups, and Haran's diamond theorem.

Please contact us with feedback and comments about this page. Last updated on 03 Apr 2022 01:32.