Nearby cycles of automorphic étale sheaves

Citation data:

Compositio Mathematica, ISSN: 0010-437X, Vol: 154, Issue: 01, Page: 80-119

Publication Year:
2018

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DOI:
10.1112/s0010437x1700745x
Author(s):
Kai-Wen Lan; Benoît Stroh
Publisher(s):
Oxford University Press (OUP)
Tags:
Mathematics
article description
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.