3 papers
math.AG2025
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.AG2024
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.NT2023
On the Kudla-Rapoport conjecture for unitary Shimura varieties with maximal parahoric level structure at unramified primes
Sungyoon Cho, Qiao He, Zhiyu Zhang
In this article, we prove that a version of Tate conjectures for certain Deligne-Lusztig varieties implies the Kudla-Rapoport conjecture for unitary Shimura varieties with maximal…