Antonio Lei

collaborators

3 papers

math.NT2026

Iwasawa theory for abelian towers of digraphs

Antonio Lei, Katharina Müller

Let $p$ and $ℓ$ be prime numbers, and $d \geq 1$ an integer. We formulate and prove Iwasawa main conjectures of the Picard groups and Bowen--Franks groups in $Z_{p}^{d}$ -tower…

math.NT2025

Isogeny graphs with level structures arrising from the Verschiebung map

Antonio Lei, Katharina Müller

We enhance an isogeny graph of elliptic curves by incorporating level structures defined by bases of the kernels of iterates of the Verschiebung map. We extend several previous res…

math.NT2025

On $Z_{p}$ -towers of graph coverings arising from a constant voltage assignment

Antonio Lei, Katharina Müller

We investigate properties of $Z_{p}$ -towers of graph coverings that arise from a constant voltage assignment. We prove the existence and uniqueness (up to isomorphisms) of s…

Iwasawa theory for abelian towers of digraphs

Isogeny graphs with level structures arrising from the Verschiebung map

On Zp​-towers of graph coverings arising from a constant voltage assignment

On $Z_{p}$ -towers of graph coverings arising from a constant voltage assignment