Abstract The aim of this paper is to compare the Cartier and covariant Dieudonne modules of connected p-divisible groups over perfect fields of positive characteristic p. In fact, we construct an explicit, canonical and functorial isomorphism and its inverse from the Dieudonne module to the Cartier module. The fact that the Cartier and (covariant) Dieudonne modules of a p-divisible formal Lie group over a perfect field are isomorphic is attributed to W. Messing, but a written proof does not exist in the literature ( [1, §5] ). We also give an application of this explicit isomorphism.

中文翻译：

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Cartier 和 Dieudonné 模块之间的显式同构

摘要 本文的目的是在正特征 p 的完美域上比较连通 p 可分群的 Cartier 和协变 Dieudonne 模。事实上，我们从 Dieudonne 模块到 Cartier 模块构造了一个显式的、规范的和函子同构及其逆。完美域上 p 可分形式李群的 Cartier 和（协变）Dieudonne 模是同构的这一事实归因于 W. Messing，但文献中不存在书面证明 ([1, §5] ) . 我们还给出了这种显式同构的应用。