3 papers
math.NT2026
On graded Lie algebras associated to once-punctured elliptic curves with complex multiplication
Shun Ishii
We study a graded Lie algebra arising from the Galois action on the pro- fundamental group of a once-punctured elliptic curve with complex multiplication. Among other things, we…
math.NT2025
On the Rasmussen-Tamagawa conjecture for abelian fivefolds
Shun Ishii
In this paper, we study the Rasmussen-Tamagawa conjecture for abelian varieties with constrained prime power torsion. Previously, Rasmussen and Tamagawa have established the conjec…
math.NT2024
On factorizations of certain Kummer characters associated to once-punctured elliptic curves with complex multiplication
Shun Ishii, Yuki Goto
In this paper, we study certain Kummer characters, which we call the elliptic Soulé characters, arising from Galois actions on the pro- fundamental groups of once-punctured elli…