Kosuke Mizuno

collaborators

3 papers

math.NT2026

Distributions of Iwasawa $I^»$ -invariants of $Z_{p}$ -towers over supersingular isogeny graphs

Taiga Adachi, Kosuke Mizuno, Ryosuke Murooka +1

A graph-theoretic analogue of Iwasawa theory, initiated by Gonet and ValliÃ¨res, has attracted considerable interest in the study of Iwasawa invariants. On the other hand, for a pa…

math.NT2025

Iwasawa theory for weighted graphs

Taiga Adachi, Kosuke Mizuno, Sohei Tateno

Let $p$ be a prime number and let $d$ be a positive integer. In this paper, we generalize Iwasawa theory for graphs initiated by Gonet and ValliÃ¨res to weighted graphs. In particu…

math.CO2025

Spanning trees and their relations in Galois covers

Kosuke Mizuno

This paper studies the relation among the number of spanning trees of intermediate graphs in a Galois cover, building on results for $(Z /2 Z)^{m}$ -covers previously…

Distributions of Iwasawa I^»-invariants of Zp​-towers over supersingular isogeny graphs

Iwasawa theory for weighted graphs

Spanning trees and their relations in Galois covers

Distributions of Iwasawa $I^»$ -invariants of $Z_{p}$ -towers over supersingular isogeny graphs