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20182023
most citedThe basic locus of the unitary Shimura variety with parahoric level structure, and special cycles

4 citations · 4 across the 5 of their papers we have counts for

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5 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.NT2022

On local representation densities of hermitian forms and special cycles II

Sungyoon Cho

In this paper, we prove that there are certain relations among representation densities and provide an efficient way to compute representation densities by using these relations. A…

math.NT2021

On local representation densities of hermitian forms and special cycles

Sungyoon Cho

In this paper, we reformulate conjectural formulas for the arithmetic intersection numbers of special cycles on unitary Shimura varieties with minuscule parahoric level structure i…

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★ 4 cited

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…