### 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 language | English |
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Number of pages | 26 |

Journal | arXiv |

Publication status | Submitted - 2016 |

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## Cite this

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