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math.NT2023★ 1 cited
On the existence of free sublattices of bounded index and arithmetic applications
Henri Johnston, Alex Torzewski
Let be a Dedekind domain whose field of fractions is a global field. Let be a finite-dimensional separable -algebra and let be an -order i…
math.NT2022
Bounds on the number of rational points of curves in families
Pedro Lemos, Alex Torzewski
In this note, we give an alternative proof of uniform boundedness of the number of integral points of smooth projective curves over a fixed number field with good reduction outside…