Local points on P-adically uniformized Shimura varieties, by Bruce W. Jordan, Ron Livne, and Yakov Varshavsky

Using the p-adic uniformization of Shimura varieties we determine, for some of them, over which local fields they have rational points. Using this we show in some new curve cases that the jacobians are even in the sense of Poonen and Stoll.

Bruce W. Jordan, Ron Livne, and Yakov Varshavsky <bruce_jordan@baruch.cuny.edu, rlivne@sunset.math.huji.ac.il, vyakov@math.huji.ac.il>