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 language | English (US) |
|---|---|
| Pages (from-to) | 80-119 |
| Number of pages | 40 |
| Journal | Compositio Mathematica |
| Volume | 154 |
| Issue number | 1 |
| DOIs | |
| State | Published - 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