Counting points on some genus zero Shimura curves

Mathematical Proceedings of the Cambridge Philosophical Society 2026 Open access

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Authors: Tyler Genao, Tristan Phillips, Fredderick Saia, Tim Santens, John Yin
DOI: 10.1017/s0305004126102187
Cited by: 0
References: 35

Abstract

Abstract We count certain abelian surfaces with potential quaternionic multiplication over a number field K by counting points of bounded height on some genus zero Shimura curves.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Advanced Algebra and Geometry Vietnamese History and Culture Studies

Publication details

Journal / source
Mathematical Proceedings of the Cambridge Philosophical Society
Publisher
Cambridge University Press (CUP)
Pages
1–25
Publication date
29 July 2026
Language
EN