15 citations · 29 across the 4 of their papers we have counts for
5 papers
The Uniform Mordell-Lang Conjecture
Ziyang Gao, Tangli Ge, Lars Kühne
The Mordell--Lang conjecture for abelian varieties states that the intersection of an algebraic subvariety with a subgroup of finite rank is contained in a finite union of cose…
Equidistribution in Families of Abelian Varieties and Uniformity
Lars Kühne
Using equidistribution techniques from Arakelov theory as well as recent results obtained by Dimitrov, Gao, and Habegger, we deduce uniform results on the Manin-Mumford and the Bog…
Effective estimates for the degrees of maximal special subvarieties
Christopher Daw, Ariyan Javanpeykar, Lars Kühne
Let be an algebraic subvariety of a Shimura variety. We extend results of the first author to prove an effective upper bound for the degree of a non-facteur maximal special sub…
Points of Small Height on Semiabelian Varieties
Lars Kühne
The Equidistribution Conjecture is proved for general semiabelian varieties over number fields. Previously, this conjecture was only known in the special case of almost split semia…
Intersections of Class Fields
Lars Kühne
Using class field theory, we prove a restriction on the intersection of the maximal abelian extensions associated with different number fields. This restriction is then used to imp…