abstract: We are considering an irreducible curve C defined over a number field. We supose that the curve is embedden in a product of elliptic curves Eg , or more in general we consider the curve inside its Jacobian JC.
We discuss several subset F of the algebraic points of Eg such that C intersected with F is a finite set of points. Examples of this kind are the Manin-Mumford and Mordell-Lang Conjecture. We extend this statements and give some more general results.