Campana points on diagonal hypersurfaces

Research output: Working paper/Preprint › Preprint

Authors

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

Research Organisations

External Research Organisations

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

Original languageEnglish
Number of pages19
Publication statusE-pub ahead of print - 16 Feb 2023

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

    math.NT, math.AG, 11D45, 11P55, 14G05

Research Area (based on ÖFOS 2012)

Cite this

Campana points on diagonal hypersurfaces. / Ortmann, Judith Lena; Brandes, Julia; Balestrieri, Francesca et al.
2023.

Research output: Working paper/Preprint › Preprint

Ortmann, JL, Brandes, J, Balestrieri, F, Winter, R, Kaesberg, M & Pieropan, M 2023 'Campana points on diagonal hypersurfaces'. https://doi.org/10.48550/arXiv.2302.08164
Ortmann, J. L., Brandes, J., Balestrieri, F., Winter, R., Kaesberg, M., & Pieropan, M. (2023). Campana points on diagonal hypersurfaces. Advance online publication. https://doi.org/10.48550/arXiv.2302.08164
Ortmann JL, Brandes J, Balestrieri F, Winter R, Kaesberg M, Pieropan M. Campana points on diagonal hypersurfaces. 2023 Feb 16. Epub 2023 Feb 16. doi: 10.48550/arXiv.2302.08164
Ortmann, Judith Lena ; Brandes, Julia ; Balestrieri, Francesca et al. / Campana points on diagonal hypersurfaces. 2023.
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