12 citations · 34 across the 13 of their papers we have counts for
6 papers · 1 filter
On some generalized Rapoport-Zink spaces
Xu Shen
We enlarge the class of Rapoport-Zink spaces of Hodge type by modifying the centers of the associated -adic reductive groups. These such-obtained Rapoport-Zink spaces are called…
Perfectoid Shimura varieties of abelian type
Xu Shen
We prove that Shimura varieties of abelian type with infinite level at are perfectoid. As a corollary, the moduli spaces of polarized K3 surfaces with infinite level at are…
On the cohomology of some simple Shimura varieties with bad reduction
Xu Shen
We determine the Galois representations inside the -adic cohomology of some quaternionic and related unitary Shimura varieties at ramified places. The main results generalize th…
On the -adic cohomology of some -adically uniformized Shimura varieties
Xu Shen
We determine the Galois representations inside the -adic cohomology of some unitary Shimura varieties at split places where they admit uniformization by finite products of Drinf…
-adic families of automorphic forms over some unitary Shimura varieties
Xu Shen
We construct some -dimensional eigenvarieties for finite slope overconvergent eigenforms over some unitary Shimura varieties with signature $(1,n-1)\times(0,n)\times\cdots\times…
On the Hodge-Newton filtration for p-divisible groups with additional structures
Xu Shen
We prove that, for a -divisible group with additional structures over a complete valuation ring of rank one with mixed characteristic , if the Newton polygon and th…