5 citations · 13 across the 16 of their papers we have counts for
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Deligne-Lusztig varieties and basic EKOR strata
Haining Wang
Under the axiom of He and Rapoport for the stratifications of Shimura varieties, we explain a result of Görtz, He and Nie that the EKOR strata contained in the basic loci can be de…
On the superspecial loci of orthogonal type Shimura varieties
Haining Wang
In this note, we study the superspecial loci of orthogonal type Shimura varieties of signature (n-2, 2) with n>3. We prove a conjecture of Gross on the parametrizations of the supe…
Level lowering on Siegel modular threefold of paramodular level
Haining Wang
In this article we prove several level lowering results for cuspidal automorphic representations occurring in the cohomology of the Siegel modular threefold with paramodular level…
On the anticyclotomic Iwasawa main conjecture for Hilbert modular forms of parallel weights
Haining Wang
In this article, we study the Iwasawa theory for Hilbert modular forms over the anticyclotomic extension of a CM field. We prove a one sided divisibility result toward the Iwasawa…
On quaternionic unitary Rapoport-Zink spaces with parahoric level structures
Haining Wang
In this article, we describe the underlying reduced scheme of a quaternionic unitary Rapoport-Zink space with Iwahori level structure. In a previous work, we have studied the quate…
On the Bruhat-Tits stratification for GU(2,2) type Rapoport-Zink space: unramified case
Haining Wang
In this note we study the supersingular locus of the GU(2,2) Shimura variety modulo a prime which is unramified in the imaginary quadratic extension. The supersingular locus of thi…
On the Bruhat-Tits stratification of a quaternionic unitary Shimura variety
Haining Wang
In this note we study the special fiber of the Rapoport-Zink space attached to a quaternionic unitary group. The special fiber is described using the so called Bruhat-Tits stratifi…