On the Kodaira dimension of Hurwitz spaces
Algebraic Geometry
2023-12-11 v4
Abstract
We show that the canonical bundle of the Hurwitz stack classifying covers of genus g>1 and degree k>2 of the projective line is big. We show that all coarse moduli spaces of trigonal curves of genus g>1 are of general type.
Keywords
Cite
@article{arxiv.2101.12264,
title = {On the Kodaira dimension of Hurwitz spaces},
author = {Gavril Farkas and Scott Mullane},
journal= {arXiv preprint arXiv:2101.12264},
year = {2023}
}
Comments
16 pages. Final version, to appear in a special issue of Mathematische Zeitschrift in honor of Olivier Debarre