Properties of Breuil-Kisin modules inherited by $p$-divisible groups
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866929306528120832 |
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| author | Sarkar, Mabud Ali Shaikh, Absos Ali |
| author_facet | Sarkar, Mabud Ali Shaikh, Absos Ali |
| contents | In this paper, by assuming a faithful action of a finite flat $\mathbb{Z}_p$-algebra $\mathscr{R}$ on a $p$-divisible group $\mathcal{G}$ defined over the ring of $p$-adic integers $\mathscr{O}_K$, we construct a category of new Breuil-Kisin module $\mathfrak{M}$ defined over the ring $\mathfrak{S}:=W(κ)[\![u]\!]$ and study the freeness and projectiveness properties of such a module. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2103_11837 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Properties of Breuil-Kisin modules inherited by $p$-divisible groups Sarkar, Mabud Ali Shaikh, Absos Ali Number Theory 11F80, 11F85, 14L05 In this paper, by assuming a faithful action of a finite flat $\mathbb{Z}_p$-algebra $\mathscr{R}$ on a $p$-divisible group $\mathcal{G}$ defined over the ring of $p$-adic integers $\mathscr{O}_K$, we construct a category of new Breuil-Kisin module $\mathfrak{M}$ defined over the ring $\mathfrak{S}:=W(κ)[\![u]\!]$ and study the freeness and projectiveness properties of such a module. |
| title | Properties of Breuil-Kisin modules inherited by $p$-divisible groups |
| topic | Number Theory 11F80, 11F85, 14L05 |
| url | https://arxiv.org/abs/2103.11837 |