1 citations · 1 across the 5 of their papers we have counts for
6 papers
CM Elliptic Analogue of the Coleman--Ihara Formula
Yuki Goto, Shun Ishii
The Soulé characters are Kummer characters constructed from cyclotomic units and also arising from the Galois action on the pro- geometric fundamental group of $\mathbb{P}^1\set…
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…
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…
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…
On the kernels of the pro- outer Galois representations associated to once-punctured CM elliptic curves
Shun Ishii
In this paper, we compare a certain field arising from the pro- outer Galois representation associated to a once-punctured CM elliptic curve over an imaginary quadratic field $K…
On Kummer characters arising from Galois actions on the pro- fundamental groups of once-punctured CM elliptic curves
Shun Ishii
In this paper, we study certain Kummer characters arising from the pro- geometric fundamental groups of CM elliptic curves minus their origins (once-punctured CM elliptic curves…