• Mathematics, Physics
  • Published 2018

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
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