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arXiv · 2002.00746

On the freeness and projectiveness of Breuil-Kisin module

Absos Ali Shaikh·Mabud Ali Sarkar
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Abstract

In the work we have considered Breuil-Kisin module over the ring of witt vectors $W(\kappa)$ over the residue field $\kappa$ of characteristic $p$ and a finite flat $\mathbb{Z}_p$-algebra $R$. Then considered Breuil-Kisin modules $M$ over the ring $W(\kappa)$ and taking the action of $R$ on $W(\kappa)$, we get again a Breuil-Kisin module $M$ over the ring $R \otimes_{\mathbb{Z}_p} W(\kappa)$. We have studied freeness and projectiveness of this module.

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Absos Ali Shaikh, Mabud Ali Sarkar. 2020-01-27. On the freeness and projectiveness of Breuil-Kisin module. https://arxiv.org/abs/2002.00746

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