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Local points on P-adically uniformized Shimura varieties
Bruce W. Jordan, Ron Livné, Yakov Varshavsky
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 t…
p-adic uniformization of unitary Shimura varieties II
Yakov Varshavsky
In this paper we show that certain Shimura varieties, uniformized by the product of complex unit balls, can be p-adically uniformized by the product (of equivariant coverings) of D…
p-adic uniformization of unitary Shimura varieties
Yakov Varshavsky
In this paper we generalize Cherednik's method and prove that certain Shimura varieties corresponding to groups of unitary similitudes and automorphic vector bundles over them have…
On the characterization of complex Shimura varieties
Yakov Varshavsky
In this paper we recall the construction and basic properties of complex Shimura varieties and show that these properties actually characterize them. This characterization immediat…