On factorizations of maps between curves

Dijana Kreso, Michael E. Zieve

We examine the different ways of writing a cover of curves $\varphi :C\to D$ over a field $K$ as a composition $\varphi ={\varphi }_n\circ {\varphi }_{n-1}\circ \cdots \circ {\varphi }_1$, where each ${\varphi }_i$ is a cover of…