We prove the Relative Manin-Mumford Conjecture for families of abelian varieties in characteristic
0. We follow the Pila-Zannier method to study special point problems, and we use the …

… In case it is a point, then G is constant and we see the classical result of Manin-Mumford
type (as proven in [Hi]) in the special situation under consideration. In fact we will appeal to the …

… The proof of Manin–Mumford given in this paper was found in 1994 (cf. [13]), written and
submitted in 1995. The present text is a great improvement over the 1995 preprint, thanks to the …

… The so-called Manin–Mumford conjecture was raised independently by Manin and Mumford
… contain only finitely many torsion points (relative of course to the Jacobian group structure). …

… In this context it seems natural to try to formulate a relative version of the Manin-Mumford
conjecture. A few years ago the following problem concerning families of semiabelian varieties …

… In analogy with the Manin–Mumford conjecture for algebraic curves, one may ask how a …
a sharp upper bound for |$d$| such that the higher-degree Manin–Mumford property holds. …

… ’s [2] counter-example to Pink’s relative Manin–Mumford conjecture (cf. Section 4.1 for
the statement of the conjecture). This is done in Chapter 4, where further discussion of the …

… As a consequence of the latter result, we prove the conjectures of Ruppert, and Aliev and
Smyth on the number of isolated torsion points of a hypersurface. These conjectures bound this …

… In Section 2 we prove a relative Manin-Mumford conjecture for abelian schemes using a
theorem of Grothendieck. In Section 3, we recall the basic notions of fibred Kuga varieties, and …

… Manin-Mumford conjecture is no accident. Indeed, one of the main purposes of this article is
to give another proof of that conjecture, … The relative Frobenius morphism of any semiabelian …