3 papers
math.AG2026
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…
math.AG2026
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…
math.NT2025
On the basic locus of GSpin Shimura varieties with vertex stabilizer level
Qiao He, Rong Zhou
We study the basic locus of Shimura varieties associated to the group of spinor similitudes of a quadratic space over with level structure given by the stabilizer of a…