Local points of twisted Mumford quotients and Shimura curves

Bruce W. Jordan; Ron Livné; Yakov Varshavsky

doi:10.1007/s00208-003-0448-3

Local points of twisted Mumford quotients and Shimura curves

Bruce W. Jordan^*, Ron Livné, Yakov Varshavsky

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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].

Original language	English
Pages (from-to)	409-428
Number of pages	20
Journal	Mathematische Annalen
Volume	327
Issue number	3
DOIs	https://doi.org/10.1007/s00208-003-0448-3
State	Published - Nov 2003

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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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Local points of twisted Mumford quotients and Shimura curves

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