English

Fontaine-Laffaille modules and strongly divisible modules

Number Theory 2023-04-04 v2

Abstract

In this note, we study the relation between Fontaine-Laffaille modules and strongly divisible modules, without assuming the main theorem of Fontaine-Laffaille (but we need to assume the main results concerning strongly divisible modules). This in particular gives a new proof for the main theorem of Fontaine-Laffaille (for p>2p>2).

Keywords

Cite

@article{arxiv.1905.08018,
  title  = {Fontaine-Laffaille modules and strongly divisible modules},
  author = {Hui Gao},
  journal= {arXiv preprint arXiv:1905.08018},
  year   = {2023}
}

Comments

Final version. Updated numbering system to match with published version

R2 v1 2026-06-23T09:13:02.286Z