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Campana Points on Diagonal Hypersurfaces

Research output: Chapter in book/report/conference proceedingContribution to book/anthologyResearchpeer review

Authors

  • Francesca Balestrieri
  • Julia Brandes
  • Miriam Kaesberg
  • Judith Ortmann

External Research Organisations

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

Details

Original languageEnglish
Title of host publicationAssociation for Women in Mathematics Series
PublisherSpringer Science and Business Media Deutschland GmbH
Pages63-92
Number of pages30
ISBN (electronic)978-3-031-52163-8
ISBN (print)978-3-031-52162-1
Publication statusPublished - 2024

Publication series

NameAssociation for Women in Mathematics Series
Volume32
ISSN (Print)2364-5733
ISSN (electronic)2364-5741

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.

Keywords

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

ASJC Scopus subject areas

Research Area (based on ÖFOS 2012)

Cite this

Campana Points on Diagonal Hypersurfaces. / Balestrieri, Francesca; Brandes, Julia; Kaesberg, Miriam et al.
Association for Women in Mathematics Series. Springer Science and Business Media Deutschland GmbH, 2024. p. 63-92 (Association for Women in Mathematics Series; Vol. 32).

Research output: Chapter in book/report/conference proceedingContribution to book/anthologyResearchpeer review

Balestrieri, F, Brandes, J, Kaesberg, M, Ortmann, J, Pieropan, M & Winter, R 2024, Campana Points on Diagonal Hypersurfaces. in Association for Women in Mathematics Series. Association for Women in Mathematics Series, vol. 32, Springer Science and Business Media Deutschland GmbH, pp. 63-92. https://doi.org/10.48550/arXiv.2302.08164, https://doi.org/10.1007/978-3-031-52163-8_3
Balestrieri, F., Brandes, J., Kaesberg, M., Ortmann, J., Pieropan, M., & Winter, R. (2024). Campana Points on Diagonal Hypersurfaces. In Association for Women in Mathematics Series (pp. 63-92). (Association for Women in Mathematics Series; Vol. 32). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.48550/arXiv.2302.08164, https://doi.org/10.1007/978-3-031-52163-8_3
Balestrieri F, Brandes J, Kaesberg M, Ortmann J, Pieropan M, Winter R. Campana Points on Diagonal Hypersurfaces. In Association for Women in Mathematics Series. Springer Science and Business Media Deutschland GmbH. 2024. p. 63-92. (Association for Women in Mathematics Series). Epub 2023 Feb 16. doi: 10.48550/arXiv.2302.08164, 10.1007/978-3-031-52163-8_3
Balestrieri, Francesca ; Brandes, Julia ; Kaesberg, Miriam et al. / Campana Points on Diagonal Hypersurfaces. Association for Women in Mathematics Series. Springer Science and Business Media Deutschland GmbH, 2024. pp. 63-92 (Association for Women in Mathematics Series).
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