The Brauer-Manin obstruction for nonisotrivial curves over global function fields

2023/08/24 by Creutz, Brendan, Voloch, José Felipe
#11G30 (Primary) 14G05 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2308.13075

Abstract

We prove that the set of rational points on a nonisotrivial curves of genus at least 2 over a global function field is equal to the set of adelic points cut out by the Brauer-Manin obstruction.

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