Abstract A global analog of Fontaine’s category of triples is introduced. While the latter is antiequivalent to the category of formal group laws over the ring of Witt vectors over a finite field of characteristic p, the introduced category is antiequivalent to the category of formal group laws over Explicit constructions of kernels and cokernels in this category are given, thus proving that it is pre-abelian.

中文翻译：

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ℤ 上的正式群律

摘要 介绍了Fontaine三元组范畴的全局类比。后者反等价于特征 p 的有限域上 Witt 向量环上的形式群律范畴，而引入的类别反等价于该范畴中核和核的显式构造的形式群律范畴，从而证明它是前阿贝尔的。