Canonical Witt formal scheme extensions and p-torsion groups

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2023-03-23 DOI:10.1007/s10231-023-01321-2

Alessandra Bertapelle, Nicola Mazzari, Arnab Saha

引用次数: 0

Abstract

We study the nth arithmetic jet space of the p-torsion subgroup attached to a smooth commutative formal group scheme. We show that the nth 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.

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正则Witt形式方案的扩展与p-托离子群

我们研究了光滑交换形式群格式上p-离子子群的第n个算术喷射空间。我们证明了上面的第n个喷流空间适合于长度为n的Witt向量的形式方案的幂和我们开始的p-离子子群之间的正则短精确序列的中间。这个结果推广了Buium关于统一根的一个结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it). A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.