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math.AG2025
A motivic Weil height machine for curves
L. Alexander Betts, Ishai Dan-Cohen
The rational points of a smooth curve over a number field map to the set of augmentations of the associated motivic algebra. An expectation, related to Kim's conjecture, is…
math.AG2022
Local constancy of pro-unipotent Kummer maps
L. Alexander Betts
It is a theorem of Kim-Tamagawa that the -pro-unipotent Kummer map associated to a smooth projective curve over a finite extension of is locally c…