Log prismatic Dieudonné theory for log p-divisible groups over O_K

2023/10/24 by Würthen, Matti, Zhao, Heer
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2310.15732

Abstract

Let O_K be a complete discrete valuation ring of mixed characteristic with perfect residue field, endowed with its canonical log-structure. We prove that log p-divisible groups over O_K correspond to Dieudonné crystals on the absolute log-prismatic site of O_K endowed with the Kummer log-flat topology. The proof uses log-descent to reduce the problem to the classical prismatic correspondence, recently established by Anschütz-Le Bras.

Related

• Prismatic crystals over the de Rham period sheaf
• Prismatic Dieudonné theory
• Logarithmic Dieudonne theory
• Log Prismatic Dieudonné theory and its application to Shimura varieties
• Dieudonné theory via classifying stacks and prismatic F-gauges