Taiga Adachi

collaborators

4 papers

math.NT2026

A difference formula of $p$ -adic height pairings via the Bloch-Kato logarithm map

Taiga Adachi, Yu Katagiri, Ryota Shii

The construction of a $p$ -adic height pairing for a geometric $p$ -adic representation of the absolute Galois group of a number field depends on a global $p$ -adic logarithm and on l…

math.NT2026

Iwasawa invariants of sharp/flat $2$ -adic $L$ -functions for quadratic twists of elliptic curves

Taiga Adachi

The aim of this paper is to study the variation under quadratic twists of the analytic Iwasawa invariants of Sprung's sharp/flat 2-adic $L$ -functions for elliptic curves over $\mat…

math.NT2026

Distributions of Iwasawa $λ$ -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 Vallières, has attracted considerable interest in the study of Iwasawa invariants. On the other hand, for a pai…

math.NT2024

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 Vallières to weighted graphs. In particul…

A difference formula of p-adic height pairings via the Bloch-Kato logarithm map

Iwasawa invariants of sharp/flat 2-adic L-functions for quadratic twists of elliptic curves

Distributions of Iwasawa λ-invariants of Zp​-towers over supersingular isogeny graphs

Iwasawa theory for weighted graphs

A difference formula of $p$ -adic height pairings via the Bloch-Kato logarithm map

Iwasawa invariants of sharp/flat $2$ -adic $L$ -functions for quadratic twists of elliptic curves

Distributions of Iwasawa $λ$ -invariants of $Z_{p}$ -towers over supersingular isogeny graphs