Campana points on diagonal hypersurfaces
Publication date
2023-07-06
Authors
Balestrieri, Francesca
Brandes, Julia
Kaesberg, Miriam
Ortmann, Judith
Pieropan, Marta
Winter, Rosa
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/dk/atira/pure/researchoutput/researchoutputtypes/workingpaper/preprint
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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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Balestrieri, F, Brandes, J, Kaesberg, M, Ortmann, J, Pieropan, M & Winter, R 2023 'Campana points on diagonal hypersurfaces' arXiv. https://doi.org/10.48550/arXiv.2302.08164