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math.NT2021★ 6 cited
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…
math.NT2021★ 15 cited
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…