Properties of Breuil-Kisin modules inherited by p-divisible groups

2021/03/19 by Sarkar, Mabud Ali, Shaikh, Absos Ali
#11F80 #11F85 #14L05 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2103.11837

Abstract

In this paper, by assuming a faithful action of a finite flat ℤ_p-algebra \mathscrR on a p-divisible group G defined over the ring of p-adic integers \mathscrO_K, we construct a category of new Breuil-Kisin module \mathfrakM defined over the ring \mathfrakS:=W(κ)[ [u] ] and study the freeness and projectiveness properties of such a module.

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