We use non-abelian fundamental groups to define a sequence of higher reciprocity maps on the adelic points of a variety over a number field satisfying certain conditions in Galois cohomology. The non-abelian reciprocity law then states that the global points are contained in the kernel of all the reciprocity maps.
CITATION STYLE
Kim, M. (2016). Diophantine geometry and non-abelian reciprocity laws i. In Springer Proceedings in Mathematics and Statistics (Vol. 188, pp. 311–334). Springer New York LLC. https://doi.org/10.1007/978-3-319-45032-2_9
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