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math.AG2022★ 1 cited
Just-likely intersections on Hilbert modular surfaces
Asvin G., Qiao He, Ananth N. Shankar
In this paper, we prove an intersection-theoretic result pertaining to curves in certain Hilbert modular surfaces in positive characteristic. Specifically, we show that given two a…
math.NT2022
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…
math.NT2022
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…