Hansol Kim

activity

20202026

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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…

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

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