3 papers
math.NT2026
On optimal -adic uniformization of unitary Shimura curves
Michael Rapoport, Haining Wang
The paper is a continuation of the paper of Kudla-Rapoport-Zink on -adic uniformization of Shimura curves associated to a group of binary unitary similitudes. Here we consider t…
math.NT2026
Arithmetic level raising for certain quaternionic unitary Shimura variety
Haining Wang
In this article we prove an arithmetic level raising theorem for the symplectic group of degree four in the ramified case. This result is a key step towards the Beilinson-Bloch-Kat…
math.NT2026
Arithmetic level raising on triple product of Shimura curves and Gross--Kudla--Schoen Diagonal cycles II: Bipartite Euler system
Haining Wang
In this article, we study the Gross--Kudla--Schoen diagonal cycle on the triple product of Shimura curves at a place of good reduction and prove an unramified arithmetic level rais…