Parametrization of Formal Norm Compatible Sequences
Number Theory
2024-05-28 v1
Abstract
We give a classification of power series parametrizing Lubin-Tate trace compatible sequences. This proof answers a question posed in the literature by Berger and Fourquaux. Lubin-Tate trace compatible sequences are a generalization of norm compatible sequences, which arise in Iwasawa theory and local class field theory. The result we prove generalizes the interpolation theorem proved by Coleman in the classical norm compatible sequence case. We also, jointly with Victor Kolyvagin, give a method for finding such series explicitly in certain special cases.
Cite
@article{arxiv.2405.16638,
title = {Parametrization of Formal Norm Compatible Sequences},
author = {Joseph DiCapua and Victor Kolyvagin},
journal= {arXiv preprint arXiv:2405.16638},
year = {2024}
}