Campana points on diagonal hypersurfaces

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

doi:10.48550/arXiv.2302.08164

Campana points on diagonal hypersurfaces

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

Research output: Working paper › Preprint › Academic

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.

Original language	English
Publisher	arXiv
Number of pages	19
DOIs	https://doi.org/10.48550/arXiv.2302.08164
Publication status	Published - 6 Jul 2023

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2302.08164Submitted manuscript, 351 KBLicence: CC BY

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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.",

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AU - Balestrieri, Francesca

AU - Brandes, Julia

AU - Kaesberg, Miriam

AU - Ortmann, Judith

AU - Pieropan, Marta

AU - Winter, Rosa

PY - 2023/7/6

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AB - 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.

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M3 - Preprint

BT - Campana points on diagonal hypersurfaces

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Campana points on diagonal hypersurfaces

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