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 |
|---|---|
| Pages (from-to) | 80-119 |
| Number of pages | 40 |
| Journal | Compositio Mathematica |
| Volume | 154 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 2018 |
Keywords
- automorphic étale sheaves
- compactifications
- integral models of Shimura varieties
- nearby cycles
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