Eigenspaces of Coleman's Trace Operator
Number Theory
2024-10-15 v1
Abstract
The Coleman power series defined on a Lubin-Tate tower of extensions over are compatible with respect to two formal group laws: the multiplicative formal group law and some Lubin-Tate formal group law defined over . We ask if it is possible to generalize these power series in order to find power series which are compatible with respect to two Lubin-Tate formal group laws in the same way. We provide a precise formulation of this question and a partial answer towards the classification of all such power series which involves the eigenspaces of Coleman's trace operator. Some additional eigenspaces of Coleman's trace operator are also introduced.
Cite
@article{arxiv.2410.10029,
title = {Eigenspaces of Coleman's Trace Operator},
author = {Joseph DiCapua},
journal= {arXiv preprint arXiv:2410.10029},
year = {2024}
}