Antonio Lei

collaborators

4 papers

math.NT2026

Bowen--Franks groups and minus class groups of cyclotomic number fields with prime conductor

Antonio Lei, Katharina MÃ¼ller, Daniel ValliÃ¨res

Let $p$ be an odd rational prime and consider the cyclotomic number field $K = Q (I^¶_{p})$ of conductor $p$ . We construct a directed graph $Y$ on $p - 1$ vertices for which t…

math.NT2026

Iwasawa theory for abelian towers of digraphs

Antonio Lei, Katharina MÃ¼ller

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

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

Antonio Lei, Katharina MÃ¼ller

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…

math.NT2025

Isogeny graphs with level structures arrising from the Verschiebung map

Antonio Lei, Katharina MÃ¼ller

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…

Bowen--Franks groups and minus class groups of cyclotomic number fields with prime conductor

Iwasawa theory for abelian towers of digraphs

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

Isogeny graphs with level structures arrising from the Verschiebung map

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