# The Moduli Space of Stables Maps with Divisible Ramification

@inproceedings{Leigh2018TheMS, title={The Moduli Space of Stables Maps with Divisible Ramification}, author={Oliver Leigh}, year={2018} }

We develop a theory for stable maps to curves with divisible ramification. For a fixed integer $r>0$, we show that the condition of every ramification locus being divisible by $r$ is equivalent to the existence of an $r$th root of a canonical section. We consider this condition in regards to both absolute and relative stable maps and construct natural moduli spaces in these situations. We construct an analogue of the Fantechi-Pandharipande branch morphism and when the domain curves are genus… CONTINUE READING