14 citations · 61 across the 30 of their papers we have counts for
31 papers
Bad Reduction of Genus Two Curves with complex multiplication
Jan Hendrik Bruinier, Tonghai Yang, Peng Yu
We study genus two curves whose Jacobians have complex multiplication by a biquadratic CM field. In this setting the Jacobian decomposes as a product of two elliptic curves with co…
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.…
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…