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math.NT2014
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…
math.NT2014
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…
math.NT2014
-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…