Strong Approximation with Brauer-Manin Obstruction for Certain Singular Varieties by Explicit Blowing Up
We extend the definition of central strong approximation with Brauer-Manin obstruction which is valid for all singular varieties.We show that a variety defined by a polynomial represented by an isotropic binary quadratic form satisfies central strong approximation with Brauer-Manin obstruction by explicit blowing-up.This is the last case of the whole generalization of Watson's results about Diophantine equations reducible to quadratics.
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