How often do quadric surfaces have integral points?

Vladimir Mitankin (Bristol)

Frank Adams 1,

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. In this talk we will explore the frequency of such counter-examples that arise in a family of affine quadric surfaces. We will detect the lack of integral points on such surfaces in terms of the integral version of the Brauer-Manin obstruction introduced by Colliot-Thélène and Xu.
Import this event to your Outlook calendar
▲ Up to the top