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].
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Mathematics Subject Classification (2000): 14G20, 14G35
The first author was partially supported by grants from the NSF and PSC-CUNY
The first two authors were partially supported by a joint Binational Israel-USA Foundation grant
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Jordan, B., Livné, R. & Varshavsky, Y. Local points of twisted Mumford quotients and Shimura curves. Math. Ann. 327, 409–428 (2003). https://doi.org/10.1007/s00208-003-0448-3
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DOI: https://doi.org/10.1007/s00208-003-0448-3