14 citations · 61 across the 30 of their papers we have counts for
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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…
Deformations of Theta Integrals and A Conjecture of Gross-Zagier
Jan H. Bruinier, Yingkun Li, Tonghai Yang
In this paper, we complete the proof of the conjecture of Gross and Zagier concerning algebraicity of higher Green functions at a single CM point on the product of modular curves.…