Remarks on Non-Abelian Cohomology of Proalgebraic Groups

Mathematics – Algebraic Geometry

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14 pages. The main result has been strengthened by removal of the connectedness assumption. Some minor errors and typos have b

Scientific paper

These are detailed notes on a variant of the non-abelian cohomology developed
by Minhyong Kim in arXiv:0409456 (published in Invent. Math.) to study rational
points of varieties over number fields. The current variant is used in
arXiv:1001.5008 to study rational points of the restriction of the universal
curve to the generic point of M_{g,n}.

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