A dimension inequality between global and local Galois cohomology is shown to imply finiteness of rational points on hyperbolic curves, with conditional finiteness results for all genus >= 2 curves.
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The Unipotent Chabauty-Kim-Kantor Method for Relative Completions
A dimension inequality between global and local Galois cohomology is shown to imply finiteness of rational points on hyperbolic curves, with conditional finiteness results for all genus >= 2 curves.