Details
Original language | English |
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Title of host publication | Association for Women in Mathematics Series |
Publisher | Springer Science and Business Media Deutschland GmbH |
Pages | 63-92 |
Number of pages | 30 |
ISBN (electronic) | 978-3-031-52163-8 |
ISBN (print) | 978-3-031-52162-1 |
Publication status | Published - 2024 |
Publication series
Name | Association for Women in Mathematics Series |
---|---|
Volume | 32 |
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
- Social Sciences(all)
- Gender Studies
- Mathematics(all)
- General Mathematics
Research Area (based on ÖFOS 2012)
- NATURAL SCIENCES
- Mathematics
- Mathematics
- Number theory
Cite this
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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 proceeding › Contribution to book/anthology › Research › peer review
}
TY - CHAP
T1 - Campana Points on Diagonal Hypersurfaces
AU - Balestrieri, Francesca
AU - Brandes, Julia
AU - Kaesberg, Miriam
AU - Ortmann, Judith
AU - Pieropan, Marta
AU - Winter, Rosa
N1 - Publisher Copyright: © The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.
PY - 2024
Y1 - 2024
N2 - 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.
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, 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.
KW - math.NT
KW - math.AG
KW - 11D45, 11P55, 14G05
UR - http://www.scopus.com/inward/record.url?scp=85201964745&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2302.08164
DO - 10.48550/arXiv.2302.08164
M3 - Contribution to book/anthology
AN - SCOPUS:85201964745
SN - 978-3-031-52162-1
T3 - Association for Women in Mathematics Series
SP - 63
EP - 92
BT - Association for Women in Mathematics Series
PB - Springer Science and Business Media Deutschland GmbH
ER -