Nearby cycles of automorphic étale sheaves

Kai Wen Lan; Benoît Stroh

doi:10.1112/S0010437X1700745X

Nearby cycles of automorphic étale sheaves

Kai Wen Lan
, Benoît Stroh

École Polytechnique

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	80-119
Nombre de pages	40
journal	Compositio Mathematica
Volume	154
Numéro de publication	1
Les DOIs	https://doi.org/10.1112/S0010437X1700745X
état	Publié - 1 janv. 2018

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10.1112/S0010437X1700745X

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title = "Nearby cycles of automorphic {\'e}tale sheaves",

abstract = "We show that the automorphic {\'e}tale 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.",

keywords = "automorphic {\'e}tale sheaves, compactifications, integral models of Shimura varieties, nearby cycles",

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AB - 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.

KW - automorphic étale sheaves

KW - compactifications

KW - integral models of Shimura varieties

KW - nearby cycles

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DO - 10.1112/S0010437X1700745X

M3 - Article

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Nearby cycles of automorphic étale sheaves

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