On $\mathbb{Z}_p$-towers of graph coverings arising from a constant voltage assignment
Number Theory
2025-04-29 v2 Combinatorics
Abstract
We investigate properties of -towers of graph coverings that arise from a constant voltage assignment. We prove the existence and uniqueness (up to isomorphisms) of such towers. Furthermore, we study the Iwasawa invariants of these towers, and apply our results to towers of isogeny graphs enhanced with level structures, as well as towers arising from volcano graphs.
Keywords
Cite
@article{arxiv.2501.03852,
title = {On $\mathbb{Z}_p$-towers of graph coverings arising from a constant voltage assignment},
author = {Antonio Lei and Katharina Müller},
journal= {arXiv preprint arXiv:2501.03852},
year = {2025}
}