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Local points of twisted Mumford quotients and Shimura curves
Authors:Email author" target="_blank">Bruce W?JordanEmail author  Ron?Livné  Yakov?Varshavsky
Institution:(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):ensp14G20, 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
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