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The Chabauty-Kim Method for Relative Completions
[article]
2020
arXiv
pre-print
In this thesis we develop a Chabauty-Kim theory for the relative completion of motivic fundamental groups, including Selmer stacks and moduli spaces of admissible torsors for the relative completion of the de Rham fundamental group. On one hand, this work generalizes results of Kim (and therefore Chabauty) in the unipotent case by adding a reductive quotient of the fundamental group. From this perspective, the addition of a reductive part allows one to apply Chabauty-type methods to fundamental
arXiv:2006.10725v1
fatcat:npzybourc5bydk4snuoelpqsmq