3 papers
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…
math.NT2020
Special cycles on unitary Shimura varieties with minuscule parahoric level structure
Sungyoon Cho
In this paper, we formulate conjectural formulas for the arithmetic intersection numbers of special cycles on unitary Shimura varieties with minuscule parahoric level structure. Al…
math.NT2018
The basic locus of the unitary Shimura variety with parahoric level structure, and special cycles
Sungyoon Cho
In this paper, we study the basic locus in the fiber at of a certain unitary Shimura variety with a certain parahoric level structure. The basic locus $\widehat{\mathcal{M}^{ss…