In a recent article, the authors established an explicit description of kernels in the category of the formal group laws over the ring of Witt vectors over a finite field in terms of Fontaine’s triples. The present research is devoted to an adjacent problem of explicit description of cokernels. The technique developed is applied to a natural monomorphism from Fm to the Weil restriction of Fm with respect to certain ring extensions. Besides, we investigate some properties of the category of formal group laws over the ring of Witt vectors such as left and right integrability and left and right semi-abelianity.
Bibliographical noteFunding Information:
The authors thank the referee for careful reading and correcting an inaccuracy in the first draft of this paper.
© 2021, The Author(s), under exclusive licence to Springer Nature B.V.
- Dieudonne modules
- Formal groups
- Preabelian categories
- p-Divisible groups