Fixed points and homology of superelliptic Jacobians

Haining Wang, Jiangwei Xue, Chia-Fu Yu

Let $\eta :C_{f,N}\to {\mathbb{P}}^1$ be a cyclic cover of ${\mathbb{P}}^1$ of degree $N$ which is totally and tamely ramified for all the ramification points. We determine the group of f…