Weak approximation and the Hilbert property for Campana points
Number Theory
2023-05-04 v4 Algebraic Geometry
Abstract
We study weak approximation and the Hilbert property for Campana points, both of importance in recent work on a Manin-type conjecture by Pieropan, Smeets, Tanimoto and Varilly-Alvarado. We show that weak weak approximation implies the Hilbert property for Campana points, and we exploit this to exhibit Campana orbifolds whose sets of Campana points are not thin.
Keywords
Cite
@article{arxiv.2010.12555,
title = {Weak approximation and the Hilbert property for Campana points},
author = {Masahiro Nakahara and Sam Streeter},
journal= {arXiv preprint arXiv:2010.12555},
year = {2023}
}
Comments
23 pages, minor revisions; to appear in Michigan Mathematical Journal