English

Local points on P-adically uniformized Shimura varieties

Number Theory 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/0204361,
  title  = {Local points on P-adically uniformized Shimura varieties},
  author = {Bruce W. Jordan and Ron Livné and Yakov Varshavsky},
  journal= {arXiv preprint arXiv:math/0204361},
  year   = {2007}
}