模的高阶导数与Hasse-Schmidt模

Pub Date : 2020-07-28 DOI:10.1307/mmj/20205958

C. Chiu, L. N. Macarro

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引用次数: 4

摘要

在本文中，我们回顾了Ribenboim关于模的高阶导数的概念，并将其与De Fernex和Docampo最近关于弧空间的微分束的工作联系起来。特别地，我们推导了Hasse-Schmidt代数的Kahler微分的公式，作为Hasse-Schmidt代数函子交换的结果。

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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Higher Derivations of Modules and the Hasse–Schmidt Module

In this paper we revisit Ribenboim's notion of higher derivations of modules and relate it to the recent work of De Fernex and Docampo on the sheaf of differentials of the arc space. In particular, we derive their formula for the Kahler differentials of the Hasse-Schmidt algebra as a consequence of the fact that the Hasse-Schmidt algebra functors commute.

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