Failures of the Integral Hasse Principle for Affine Quadric Surfaces

Vladimir Mitankin

Research output: Contribution to journalArticle (Academic Journal)

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.
Original languageEnglish
Number of pages26
JournalarXiv
Publication statusSubmitted - 2016

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    Mitankin, V. (2016). Failures of the Integral Hasse Principle for Affine Quadric Surfaces. Manuscript submitted for publication.