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Manin obstruction to strong approximation for homogeneous spaces

Manin obstruction to strong approximation for homogeneous spaces

For a homogeneous space X (not necessarily principal) of a connected algebraic group G (not necessarily linear) over a number field k , we prove a theorem of strong approximation for the adelic points of X in the Brauer–Manin set. Namely, for an adelic point x of X orthogonal to …