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arXiv · 2504.09400

Counting points on some genus zero Shimura curves

Tyler Genao·Tristan Phillips·Fredderick Saia·Tim Santens·John Yin
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Abstract

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

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Tyler Genao, Tristan Phillips, Fredderick Saia, Tim Santens, John Yin. 2025-04-13. Counting points on some genus zero Shimura curves. https://arxiv.org/abs/2504.09400

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