H. Kim

activity

20212026

collaborators

3 papers

math.NT2026

Cohen-Lenstra heuristics and vanishing of zeta functions for superelliptic curves over finite fields

Hyun Jong Kim

We prove a Cohen-Lenstra type result commenting on the distribution of class group structures amongst function fields of superelliptic curves over finite fields. We also prove a re…

math.NT2023

Computing nonsurjective primes associated to Galois representations of genus $2$ curves

Barinder S. Banwait, Armand Brumer, Hyun Jong Kim +4

For a genus $2$ curve $C$ over $Q$ whose Jacobian $A$ admits only trivial geometric endomorphisms, Serre's open image theorem for abelian surfaces asserts that there are o…

math.AG2021

Global $A^{1}$ degrees of covering maps between modular curves

Hyun Jong Kim, Sun Woo Park

Given a projective smooth curve $X$ over any field $k$ , we discuss two notions of global $A^{1}$ degree of a finite morphism of smooth curves $f : X \to P_{k}^{1}$ satis…

Cohen-Lenstra heuristics and vanishing of zeta functions for superelliptic curves over finite fields

Computing nonsurjective primes associated to Galois representations of genus 2 curves

Global A1 degrees of covering maps between modular curves

Computing nonsurjective primes associated to Galois representations of genus $2$ curves

Global $A^{1}$ degrees of covering maps between modular curves