Cokernels in the Category of Formal Group Laws

Oleg Demchenko; Alexander Gurevich

doi:10.1007/s10485-021-09646-w

Cokernels in the Category of Formal Group Laws

Oleg Demchenko^*, Alexander Gurevich

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 F_m to the Weil restriction of F_m 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.

Original language	American English
Pages (from-to)	13-31
Number of pages	19
Journal	Applied Categorical Structures
Volume	30
Issue number	1
DOIs	https://doi.org/10.1007/s10485-021-09646-w
State	Published - Feb 2022

Bibliographical note

Funding Information:
The authors thank the referee for careful reading and correcting an inaccuracy in the first draft of this paper.

Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature B.V.

Keywords

Dieudonne modules
Formal groups
Preabelian categories
p-Divisible groups

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10.1007/s10485-021-09646-w

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author = "Oleg Demchenko and Alexander Gurevich",

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Cokernels in the Category of Formal Group Laws

Abstract

Bibliographical note

Keywords

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