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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…
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…