Canonical Witt formal scheme extensions and p-torsion groups

We study the \(n\)-th arithmetic jet space of the \(p\)-torsion subgroup attached to a smooth commutative formal group scheme. We show that the \(n\)-th jet space above fits in the middle of a canonical short exact sequence between a power of the formal scheme of Witt vectors of length \(n\) and the...

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Bibliographic Details
Published in:arXiv.org 2022-07
Main Authors: Bertapelle, Alessandra, Mazzari, Nicola, Saha, Arnab
Format: Article
Language:English
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Subgroups
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Summary:We study the \(n\)-th arithmetic jet space of the \(p\)-torsion subgroup attached to a smooth commutative formal group scheme. We show that the \(n\)-th jet space above fits in the middle of a canonical short exact sequence between a power of the formal scheme of Witt vectors of length \(n\) and the \(p\)-torsion subgroup we started with. This result generalizes a result of Buium on roots of unity.
ISSN:2331-8422
DOI:10.48550/arxiv.2207.10382