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Failures of the Integral Hasse Principle for Affine Quadric Surfaces (1604.08510v2)

Published 28 Apr 2016 in math.NT

Abstract: Quadric hypersurfaces are well-known to satisfy the Hasse principle. However, this is no longer true in the case of the Hasse principle for integral points, where counter-examples are known to exist in dimension 1 and 2. This work explores the frequency that such counter-examples arise in a family of affine quadric surfaces defined over the integers.

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