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math.NT2025
New evidence for Rémond's generalisation of Lehmer's conjecture
Sara Checcoli, Gabriel Andreas Dill
In this article, we generalise a result of Pottmeyer from the multiplicative group of the algebraic numbers to almost split semiabelian varieties defined over number fields. This c…
math.NT2025
Likely intersections in powers of the multiplicative group
Gabriel Andreas Dill, Francesco Gallinaro
We derive two finiteness properties as consequences of the geometrical non-degeneracy of an algebraic subvariety of a power of the multiplicative group, concerning the intersec…