Counting points on some genus zero Shimura curves

Fuente: arXiv
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Autori principali: Genao, Tyler, Phillips, Tristan, Saia, Fredderick, Santens, Tim, Yin, John
Natura: Preprint
Pubblicazione: 2025
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author Genao, Tyler
Phillips, Tristan
Saia, Fredderick
Santens, Tim
Yin, John
author_facet Genao, Tyler
Phillips, Tristan
Saia, Fredderick
Santens, Tim
Yin, John
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2504_09400
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Counting points on some genus zero Shimura curves
Genao, Tyler
Phillips, Tristan
Saia, Fredderick
Santens, Tim
Yin, John
Number Theory
Primary 11G10, Secondary 11G50, 11G18, 11G30, 11D45, 14G05, 14D10
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.
title Counting points on some genus zero Shimura curves
topic Number Theory
Primary 11G10, Secondary 11G50, 11G18, 11G30, 11D45, 14G05, 14D10
url https://arxiv.org/abs/2504.09400