Automorphisms and reduction of Heegner points on Shimura curves at Cerednik-Drinfeld primes

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Title:	Automorphisms and reduction of Heegner points on Shimura curves at Cerednik-Drinfeld primes
Author:	Molina Blanco, Santiago; Rotger Cerdà, Víctor
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. TN - Grup de Recerca en Teoria de Nombres
Abstract:	The aim of this short note is to show how the interplay of the action of the automorphism group of a Shimura curve on the special fiber of its Cerednik-Drinfeld’s integral model at a prime of bad reduction and its sets of Heegner points, can be exploited to prove some instances of a conjecture that predicts that any automorphism must be an Atkin-Lehner involution.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra -Curves, Elliptic -Arithmetical -Shimura varieties -Varietats de Shimura -Àlgebra -Corbes modulars
Rights:	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Published version Article
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