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math.AG2024
Variation of the Hausdorff dimension and degenerations of Schottky groups
Nguyen-Bac Dang, Vlerë Mehmeti
We show that the Hausdorff dimension of the limit set of a Schottky group varies continuously over the moduli space of Schottky groups defined over any complete valued field constr…
math.AG2022
An analytic viewpoint on the Hasse principle
Vlerë Mehmeti
Working on Berkovich analytic curves, we propose a geometric approach to the study of the Hasse principle over function fields of curves defined over a complete discretely valued f…
math.AG2019
Patching over Analytic Fibers and the Local-Global Principle
Vlerë Mehmeti
As a starting point for higher-dimensional patching in the Berkovich setting, we show that this technique is applicable around certain fibers of a relative Berkovich analytic curve…