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math.NT2021
Unlikely Intersections of Curves with Algebraic Subgroups in Semiabelian Varieties
Fabrizio Barroero, Lars Kühne, Harry Schmidt
Let be a semiabelian variety and a curve in that is not contained in a proper algebraic subgroup of . In this situation, conjectures of Pink and Zilber imply that th…
math.NT2021★ 1 cited
The Relative Bogomolov Conjecture for Fibered Products of Elliptic Curves
Lars Kühne
We deduce an analogue of the Bogomolov conjecture for non-degenerate subvarieties in fibered products of families of elliptic curves from the author's recent theorem on equidistrib…
math.NT2017★ 8 cited
The Bounded Height Conjecture for Semiabelian Varieties
Lars Kühne
The Bounded Height Conjecture of Bombieri, Masser, and Zannier states that for any sufficiently generic algebraic subvariety of a semiabelian -variety th…