On $\ell$-torsion in degree $\ell$ superelliptic Jacobians over ${\mathbf{F}}_q$

Wanlin Li, Jonathan Love, Eric Stubley

We study the $\ell$-torsion subgroup in Jacobians of curves of the form $y^{\ell }=f(x)$ for irreducible $f(x)$ over a finite field ${\mathbf{F}}_q$ of characteristic $p \neq \ell…