Nearby cycles of automorphic étale sheaves
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Compositio Mathematica, ISSN: 0010-437X, Vol: 154, Issue: 1, Page: 80-119
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We show that the automorphic étale cohomology of a (possibly noncompact) PEL-type or Hodge-type Shimura variety in characteristic zero is canonically isomorphic to the cohomology of the associated nearby cycles over most of their mixed characteristics models constructed in the literature.