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arXiv:2210.13559 [math.NT]AbstractReferencesReviewsResources

A new conjecture on rational points in families

Daniel Loughran, Nick Rome, Efthymios Sofos

Published 2022-10-24Version 1

We prove asymptotics for Serre's problem on the number of diagonal planar conics with a rational point and use this to put forward a new conjecture on counting the number of varieties in a family which are everywhere locally soluble.

Comments: 47 pages, comments welcome
Categories: math.NT, math.AG
Subjects: 14G05, 11E20, 11D45, 14D10, 11N36
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