Z/rZ-equivariant covers of P^1 with moving ramification
arXiv:2105.04586
Abstract
Let X -> P^1 be a general cyclic cover. We give a simple formula for the number of equivariant meromorphic functions on X subject to ramification conditions at variable points. This generalizes and gives a new proof of a recent result of the second author and Pirola on hyperelliptic odd covers.
final version, to appear in Israel J. Math