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Points of bounded height on certain subvarieties of toric varieties

Marta Pieropan and Damaris Schindler
Vol. 19 (2025), No. 11, 2281–2306
DOI: 10.2140/ant.2025.19.2281
Abstract

We combine the split torsor method and the hyperbola method for toric varieties to count rational points and Campana points of bounded height on certain subvarieties of toric varieties.

Keywords
hyperbola method, m-full numbers, Campana points, toric varieties
Mathematical Subject Classification
Primary: 11P21
Secondary: 11A25, 11G50, 14G05, 14M25
Milestones
Received: 6 June 2024
Revised: 7 October 2024
Accepted: 12 November 2024
Published: 14 September 2025
Authors
Marta Pieropan
Mathematical Institute
Utrecht University
Utrecht
Netherlands
Damaris Schindler
Mathematical Institute
Goettingen University
Goettingen
Germany
© 2025 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY).

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