On Vlasenko's formal group laws
Number Theory
2025-01-24 v1
Abstract
Given a Laurent polynomial over a ring flat over , Vlasenko defines a formal group law. We identify this formal group law with a coordinate system of a formal group functor, prove its integrality. When the Hasse--Witt matrix of the Laurent polynomial is invertible, Vlasenko defines a matrix by taking a certain -adic limit. We show that this matrix is the Frobenius of the Dieudonn\'e module of this formal group modulo .
Cite
@article{arxiv.2009.10512,
title = {On Vlasenko's formal group laws},
author = {Dingxin Zhang},
journal= {arXiv preprint arXiv:2009.10512},
year = {2025}
}