Nearby cycles of automorphic étale sheaves

Kai-Wen Lan, Benoît Stroh

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8 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)80-119
Number of pages40
JournalCompositio Mathematica
Volume154
Issue number1
DOIs
StatePublished - 2018

Bibliographical note

Funding Information:
The first author is partially supported by the National Science Foundation under agreement No. DMS-1352216, by an Alfred P. Sloan Research Fellowship, and by the UniversitéParis 13. The second author is partially supported by the A.N.R. (Agence Nationale de la Recherche) under the program ANR-14-CE25-0002. This journal is © Foundation Compositio Mathematica 2017.

Publisher Copyright:
© 2017 Foundation Compositio Mathematica.

Keywords

  • automorphic étale sheaves
  • compactifications
  • integral models of Shimura varieties
  • nearby cycles

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