Ryota Shii

activity

20232026

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.NT2025

On the Mazur--Tate refined conjecture for the anticyclotomic tower at inert primes

Ryota Shii

Let $E$ be an elliptic curve defined over $Q$ with supersingular reduction at $p \geq 5$ , and $K$ be an imaginary quadratic field such that $p$ is inert in $K / Q$ .…

math.NT2024

The 2-adic valuations of the algebraic central $L$ -values for quadratic twists of weight 2 newforms

Taiga Adachi, Keiichiro Nomoto, Ryota Shii

Let $f$ be a normalized newform of weight 2 on $Γ_{0} (N)$ whose coefficients lie in $Q$ and let $χ_{M}$ be a primitive quadratic Dirichlet character with conductor $M$ . In thi…

math.NT2023

On non-trivial $Λ$ -submodules with finite index of the plus/minus Selmer group over anticyclotomic $Z_{p}$ -extension at inert primes

Ryota Shii

Let $K$ be an imaginary quadratic field where $p$ is inert. Let $E$ be an elliptic curve defined over $K$ and suppose that $E$ has good supersingular reduction at $p$ . In this pape…

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

On the Mazur--Tate refined conjecture for the anticyclotomic tower at inert primes

The 2-adic valuations of the algebraic central L-values for quadratic twists of weight 2 newforms

On non-trivial Λ-submodules with finite index of the plus/minus Selmer group over anticyclotomic Zp​-extension at inert primes

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

The 2-adic valuations of the algebraic central $L$ -values for quadratic twists of weight 2 newforms

On non-trivial $Λ$ -submodules with finite index of the plus/minus Selmer group over anticyclotomic $Z_{p}$ -extension at inert primes