2 papers
math.NT2025
Weighted special cycles on Rapoport--Zink spaces with almost self-dual level
Qiao He, Zhiyu Zhang, Baiqing Zhu
We introduce a ``vector valued'' version of special cycles on GSpin Rapoport--Zink spaces with almost self-dual level in the context of the Kudla program, with certain linear invar…
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…