5 citations · 13 across the 16 of their papers we have counts for
16 papers
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…
Flach system of Jacquet-Langlands type and quaternionic period
Haining Wang
In this article, we study the adjoint Selmer group of a modular form that admits a Jacquet-Langlands transfer to a modular form on a definite quaternion algebra. We show that this…
Flach system on Quaternionic Hilbert--Blumenthal surfaces and distinguished periods
Haining Wang
We study arithmetic properties of certain quaternionic periods of Hilbert modular forms arising from base change of elliptic modular forms. These periods which we call the distingu…
Deformation of rigid Galois representations and cohomology of certain quaternionic unitary Shimura variety
Haining Wang
In this article, we use deformation theory of Galois representations valued in the symplectic group of degree four to prove a freeness result for the cohomology of certain quaterni…
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…
Indivisibility of Heegner cycles over Shimura curves and Selmer groups
Haining Wang
In this article, we show that the Abel-Jacobi images of the Heegner cycles over the Shimura curves constructed by Nekovar, Besser and the theta elements contructed by Chida-Hsieh f…