3 citations · 8 across the 10 of their papers we have counts for
10 papers
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…
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…
Pullback of arithmetic theta series and its modularity for unitary Shimura curves
Qiao He, Yousheng Shi, Tonghai Yang
This paper is a complement of the modularity result of Bruinier, Howard, Kudla, Rapoport and Yang (BHKRY) for the special case not considered there. The main idea to embed…
Kudla-Rapoport conjecture for Krämer models
Qiao He, Yousheng Shi, Tonghai Yang
In this paper, we propose a modified Kudla-Rapoport conjecture for the Krämer model of unitary Rapoport-Zink space at a ramified prime, which is a precise identity relating interse…
A proof of the Kudla-Rapoport conjecture for Krämer models
Qiao He, Chao Li, Yousheng Shi +1
We prove the Kudla--Rapoport conjecture for Krämer models of unitary Rapoport--Zink spaces at ramified places. It is a precise identity between arithmetic intersection numbers of s…
A genus two arithmetic Siegel-Weil formula on X_0(N)
Siddarth Sankaran, Yousheng Shi, Tonghai Yang
We define a family of arithmetic zero cycles in the arithmetic Chow group of a modular curve X_0(N), for N>3 odd and squarefree, and identify the arithmetic degrees of these cycles…
The Kudla-Rapoport conjecture at a ramified prime for
Qiao He, Yousheng Shi, Tonghai Yang
In this paper, we proved a local arithmetic Siegel-Weil formula for a -Shimura variety at a ramified prime, a.k.a. a Kudla-Rapoport conjecture at a ramified case. The form…
Special cycles on unitary Shimura curves at ramified primes
Yousheng Shi
In this paper, we study special cycles on the Krämer model of -Rapoport-Zink spaces where is a ramified quadratic extension of -adic number field…
Theta series and generalized special cycles on Hermitian locally symmetric manifolds
Yousheng Shi
We study generalized special cycles on Hermitian locally symmetric spaces associated to the groups , and $\mathrm{O…
Special cycles on the basic locus of unitary Shimura varieties at ramified primes
Yousheng Shi
In this paper, we study special cycles on the basic locus of certain unitary Shimura varieties over the ramified primes and their local analogues on the corresponding Rapoport-Zink…