Campana Points on Diagonal Hypersurfaces

authored by

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

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, generalizing 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)

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

Type

Contribution to book/anthology

Pages

63-92

No. of pages

30

Publication date

2024

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Gender Studies, General Mathematics

Research Area (based on ÖFOS 2012)

Number theory

Electronic version(s)

https://doi.org/10.48550/arXiv.2302.08164 (Access: Open)
https://doi.org/10.1007/978-3-031-52163-8_3 (Access: Closed)