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Local constancy of pro‐unipotent Kummer maps

Local constancy of pro‐unipotent Kummer maps

Abstract 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 constant when . This paper establishes two generalisations of this result. First, we extend the Kim–Tamagawa theorem to the case that is a smooth variety …