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The basic locus of ramified unitary Shimura varieties of signature at maximal vertex level
Qiao He, Yu Luo, Yousheng Shi
We construct the Bruhat--Tits stratification of the reduced locus of the ramified unitary Rapoport--Zink space of signature , with the level being the stabilizer of a vert…
Regular models of ramified unitary Shimura varieties at maximal parahoric level
Qiao He, Yu Luo, Yousheng Shi
We use the idea of splitting models to define and study a semi-stable model for unitary Shimura varieties of signature with maximal parahoric level structure at ramified…
Special cycles on unitary Shimura curves at ramified primes
Yousheng Shi
In this paper, we study special cycles on the Krämer model of -Rapoport-Zink spaces where is a ramified quadratic extension of -adic number field…
Special cycles on the basic locus of unitary Shimura varieties at ramified primes
Yousheng Shi
In this paper, we study special cycles on the basic locus of certain unitary Shimura varieties over the ramified primes and their local analogues on the corresponding Rapoport-Zink…