Birational geometry of moduli of curves with an $S_3$cover
Abstract
We consider the space $\mathcal R_{g,S_3}^{S_3}$ of curves with a connected $S_3$cover, proving that for any odd genus $g\geq 13$ this moduli is of general type. Furthermore we develop a set of tools that are essential in approaching the case of $G$covers for any finite group $G$.
 Publication:

arXiv eprints
 Pub Date:
 May 2019
 arXiv:
 arXiv:1905.03487
 Bibcode:
 2019arXiv190503487G
 Keywords:

 Mathematics  Algebraic Geometry
 EPrint:
 32 pages, 1 figure