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

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

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.