On $\mathbb{Z}_p$-towers of graph coverings arising from a constant voltage assignment
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912348547055616 |
|---|---|
| author | Lei, Antonio Müller, Katharina |
| author_facet | Lei, Antonio Müller, Katharina |
| contents | We investigate properties of $\mathbb{Z}_p$-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_03852 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On $\mathbb{Z}_p$-towers of graph coverings arising from a constant voltage assignment Lei, Antonio Müller, Katharina Number Theory Combinatorics 11R23, 05C25 We investigate properties of $\mathbb{Z}_p$-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. |
| title | On $\mathbb{Z}_p$-towers of graph coverings arising from a constant voltage assignment |
| topic | Number Theory Combinatorics 11R23, 05C25 |
| url | https://arxiv.org/abs/2501.03852 |