[en] 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.
Disciplines :
Mathematics
Author, co-author :
Molina Blanco, Santiago ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Rotger, Victor
External co-authors :
yes
Language :
English
Title :
Automorphisms and reduction of Heegner points on Shimura curves at Cerednik-Drinfeld primes