Campana points on diagonal hypersurfaces

authored by

Judith Lena Ortmann, Julia Brandes, Francesca Balestrieri, Rosa Winter, Miriam Kaesberg, Marta Pieropan

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.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

External Organisation(s)

University of Gothenburg
The American University of Paris
King's College London
University of Göttingen
Utrecht University

Type

Preprint

No. of pages

19

Publication date

16.02.2023

Publication status

E-pub ahead of print

Research Area (based on ÖFOS 2012)

Number theory

Electronic version(s)

https://doi.org/10.48550/arXiv.2302.08164 (Access: Open)