Chennai Mathematical Institute


2.30 - 3.30
Points of small height on abelian varieties over function fields

Sinnou David
Universite de Paris VI (Pierre et Marie Curie).


"an old conjecture of Lang (for elliptic curves) generalized by Silverman, asserts that the NĂ©ron-Tate height of a rational point of an abelian variety defined over a number field can be bounded below linearly in terms of the Faltings height of the underlying abelian variety. Closely connected is the uniform bound for the torsion problem. Apart from the case of elliptic curves this latter problem is also open. We shall explore the function field analogue of these questions and show how they can be treated simultaneously."