(1) Department of Mathematics, Baruch College, B6-230, CUNY One Bernard Baruch Way, New York, NY 10010, USA;(2) Mathematics Institute, The Hebrew University of Jerusalem, Givat-Ram, Jerusalem, 91904, Israel
Abstract:
We determine over which fields twisted Mumford quotients have rational points. Using the $p$-adic uniformization, we apply these results to Shimura curves, and show some new cases for which the jacobians are even in the sense of PS].
Mathematics Subject Classification (2000):14G20, 14G35The first author was partially supported by grants from the NSF and PSC-CUNYThe first two authors were partially supported by a joint Binational Israel-USA Foundation grant