Kisin modules with descent data and parahoric local models

Ana Caraiani, Brandon Levin

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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 languageEnglish (US)
Pages (from-to)181-213
Number of pages33
JournalAnnales Scientifiques de l'Ecole Normale Superieure
Volume51
Issue number1
DOIs
StatePublished - Jan 1 2018
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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