Explicit arithmetic of Jacobians of generalized Legendre curves over global function fields

Lisa Berger, Chris Hall, René Pannekoek +5

We study the Jacobian $J$ of the smooth projective curve $C$ of genus $r-1$ with affine model $y^r=x^{r-1}(x+1)(x+t)$ over the function field ${\mathbb{F}}_p(t)$, when $p$ is p…