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Failures of the Integral Hasse Principle for Affine Quadric Surfaces. (arXiv:1604.08510v2 [math.NT] UPDATED)

来源于:arXiv
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. 查看全文>>