Counting points on some genus zero Shimura curves
Number Theory
2025-07-30 v2
Abstract
We count certain abelian surfaces with potential quaternionic multiplication defined over a number field by counting points of bounded height on some genus zero Shimura curves.
Keywords
Cite
@article{arxiv.2504.09400,
title = {Counting points on some genus zero Shimura curves},
author = {Tyler Genao and Tristan Phillips and Fredderick Saia and Tim Santens and John Yin},
journal= {arXiv preprint arXiv:2504.09400},
year = {2025}
}
Comments
23 pages. Updated grant information. Comments welcome!