Proving the triviality of rational points on Atkin-Lehner quotients of Shimura curves
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Publication:2458861
DOI10.1007/S00208-007-0136-9zbMATH Open1129.14036arXiv0707.1330OpenAlexW2012715921MaRDI QIDQ2458861
Author name not available (Why is that?)
Publication date: 5 November 2007
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/0707.1330
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