Sohei Tateno

collaborators

5 papers

math.NT2026

Iwasawa Theory for K3 Surfaces over Finite Fields

Rikuto Ito, Sohei Tateno

In this paper, we initiate Iwasawa theory for K3 surfaces over finite fields. First, using the Artin-Tate conjecture, which is known to hold for K3 surfaces, we prove an analogue o…

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

Iwasawa theory for vertex-weighted graphs

Ryosuke Murooka, Sohei Tateno

Chung-Langlands established a matrix-tree theorem for positive-real valued vertex-weighted graphs, and Wu-Feng-Sato developed a theory of Ihara zeta functions for those graphs. In…

math.GT2025

The Iwasawa invariants of $Z_{p}^{d}$ -covers of links

Sohei Tateno, Jun Ueki

Let $p$ be a prime number and let $d \in Z_{> 0}$ . In this paper, following the analogy between knots and primes, we study the $p$ -torsion growth in a compatible system of $…