Automorphisms and Reduction of Heegner Points on Shimura Curves at Cerednik-drinfeld Primes
نویسنده
چکیده
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.
منابع مشابه
Heegner points, p-adic L-functions, and the Cerednik-Drinfeld uniformization
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 453 1 Quaternion algebras, upper half planes, and trees . . . . . . . . . . . . . . . . . . . . . . . . . 456 2 The p-adic L-function . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 464 3 Generalities on Mumford curves . . . . . . . ....
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