Abstract
We construct a moduli space Yμ,τ of Kisin modules with tame descent datum r and with p-adic Hodge type ≤ μ, for some finite extension K/ℚp. We show that this space is smoothly equivalent to the local model for ResK/ℚ GLn, cocharacter {μ}, and parahoric level structure. We use this to construct the analog of Kottwit'z-Rapoport strata on the special fiber Yμ,τ indexed by the μ-admissible set. We also relate Yμ,τ to potentially crystalline Galois deformation rings.
Original language | English (US) |
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Pages (from-to) | 181-213 |
Number of pages | 33 |
Journal | Annales Scientifiques de l'Ecole Normale Superieure |
Volume | 51 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1 2018 |
Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics