Formal groups and congruences
Number Theory
2018-07-05 v5
Abstract
We give a criterion of integrality of an one-dimensional formal group law in terms of congruences satisfied by the coefficients of the canonical invariant differential. For an integral formal group law a p-adic analytic formula for the local characteristic polynomial at p is given. We demonstrate applications of our results to formal group laws attached to L-functions, Artin--Mazur formal groups of algebraic varieties and hypergeometric formal group laws. (This is the final version submitted to a journal; new parts are added in the section on hypergeometric formal group laws.)
Cite
@article{arxiv.1509.06002,
title = {Formal groups and congruences},
author = {Masha Vlasenko},
journal= {arXiv preprint arXiv:1509.06002},
year = {2018}
}