Campana points on diagonal hypersurfaces
Number Theory
2023-07-07 v2 Algebraic Geometry
Abstract
We construct an integral model for counting Campana points of bounded height on diagonal hypersurfaces of degree greater than one, and give an asymptotic formula for their number, generalising work by Browning and Yamagishi. The paper also includes background material on the theory of Campana points on hyperplanes and previous results in the field.
Keywords
Cite
@article{arxiv.2302.08164,
title = {Campana points on diagonal hypersurfaces},
author = {Francesca Balestrieri and Julia Brandes and Miriam Kaesberg and Judith Ortmann and Marta Pieropan and Rosa Winter},
journal= {arXiv preprint arXiv:2302.08164},
year = {2023}
}
Comments
19 pages; minor revision