Prismatic $F$-crystals and crystalline Galois representations

Bhargav Bhatt, Peter Scholze

Type: Article

Publication Date: 2023-01-01

Citations: 9

DOI: https://doi.org/10.4310/cjm.2023.v11.n2.a3

Abstract

Let $K$ be a complete discretely valued field of mixed characteristic $(0,p)$ with perfect residue field. We prove that the category of prismatic $F$-crystals on $\mathcal O_K$ is equivalent to the category of lattices in crystalline $G_K$-representations.

Locations

Cambridge Journal of Mathematics - View
arXiv (Cornell University) - View - PDF

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