Hansol Kim

collaborators

3 papers

math.NT2025

Stability of torsion subgroups of elliptic curves over non-Galois extensions of odd prime degree

Bo-Hae Im, Hansol Kim

Let $K$ be a field of characteristic $0$ and $E / K$ an elliptic curve over $K$ . For a finite extension $L / K$ and a prime~ $ℓ$ , we provide Galois-theoretic sufficient conditions on…

math.NT2025

The automorphism group of torsion points of an elliptic curve over a field of characteristic $\geq 5$

Bo-Hae Im, Hansol Kim

For a field $K$ of characteristic $p \geq 5$ containing $F_{p}^{alg}$ and the elliptic curve $E_{s, t} : y^{2} = x^{3} + s x + t$ defined over the functi…

math.NT2020

A classification of the automorphism groups of polarized abelian threefolds over finite fields

WonTae Hwang, Bo-Hae Im, Hansol Kim

We give a classification of maximal elements of the set of finite groups that can be realized as the automorphism groups of polarized abelian threefolds over finite fields.

Stability of torsion subgroups of elliptic curves over non-Galois extensions of odd prime degree

The automorphism group of torsion points of an elliptic curve over a field of characteristic ≥5

A classification of the automorphism groups of polarized abelian threefolds over finite fields

The automorphism group of torsion points of an elliptic curve over a field of characteristic $\geq 5$