5 citations · 9 across the 5 of their papers we have counts for
5 papers
Elliptic curves over the perfect closure of a function field
Dragos Ghioca
We prove that the group of rational points of a non-isotrivial elliptic curve defined over the perfect closure of a function field in one variable over a finite field is finiteley…
Points of small height on varieties defined over a function field
Dragos Ghioca
We obtain a Bogomolov type of result for the additive group scheme in characteristic . Our result is equivalent with a Bogomolov theorem for Drinfeld modules defined over a fini…
The Mordell-Lang Theorem for Drinfeld modules
Dragos Ghioca
We study the quasi-endomorphism ring of infinitely definable subgroups in separably closed fields. Based on the results we obtain, we are able to prove a Mordell-Lang theorem for D…
The Local Lehmer Inequality For Drinfeld Modules
Dragos Ghioca
We give a lower bound for the local height of a non-torsion element of a Drinfeld module.
Lehmer Inequality and the Mordell-Weil Theorem for Drinfeld modules
Dragos Ghioca
In this paper we prove a special case of the Lehmer inequality for Drinfeld modules. Also, based on this inequality, we prove certain Mordell-Weil type of theorems for certain infi…