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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Automorphisms and reduction of Heegner points on Shimura curves at Cerednik-Drinfeld primes
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by Santiago Molina and Victor Rotger PDF
Proc. Amer. Math. Soc. 142 (2014), 381-390 Request permission

Abstract:

Let $X$ be a Shimura curve of genus at least 2. Exploiting Čerednik-Drinfeld’s description of the special fiber of $X$ and the specialization of its Heegner points, we show that under certain technical conditions, the group of automorphisms of $X$ corresponds to its group of Atkin-Lehner involutions.
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Additional Information
  • Santiago Molina
  • Affiliation: Department of Mathematics, Universität Bielefeld, Postfach 100131, D-33501 Bielefeld, Germany
  • Address at time of publication: Université du Luxembourg, Faculté des Sciences, de la Technologie et de la Communication, 6, rue Richard Coudenhove-Kalergi, L-1359 Luxembourg
  • Email: santiago.molina@uni.lu
  • Victor Rotger
  • Affiliation: Department of Applied Mathematics II, Universitat Politècnica de Catalunya, Barcelona, Spain
  • MR Author ID: 698263
  • Email: victor.rotger@upc.edu
  • Received by editor(s): October 24, 2011
  • Received by editor(s) in revised form: January 23, 2012, and March 20, 2012
  • Published electronically: October 24, 2013
  • Communicated by: Matthew A. Papanikolas
  • © Copyright 2013 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 142 (2014), 381-390
  • MSC (2010): Primary 11G18; Secondary 14G35
  • DOI: https://doi.org/10.1090/S0002-9939-2013-11772-7
  • MathSciNet review: 3133980