Automorphisms and reduction of Heegner points on Shimura curves at Cerednik-Drinfeld primes
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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.
CitationMolina, S., Rotger, V. Automorphisms and reduction of Heegner points on Shimura curves at Cerednik-Drinfeld primes. "Proceedings of the American Mathematical Society", 2014, núm. 142, p. 381-390.