Proving the triviality of rational points on Atkin-Lehner quotients of Shimura curves

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In this paper we give a method for studying global rational points on certain quotients of Shimura curves by Atkin-Lehner involutions. We obtain explicit conditions on such quotients for rational points to be ``trivial'' (coming from CM points only) and exhibit an explicit infinite family of such quotients satisfying these conditions.
25 pages. To appear in Mathematische Annalen

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Number Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/133256

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.1330
 http://arxiv.org/abs/0707.1330

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arXiv