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arXiv · 2101.12264

On the Kodaira dimension of Hurwitz spaces

Gavril Farkas·Scott Mullane
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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.

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Gavril Farkas, Scott Mullane. 2021-01-28. On the Kodaira dimension of Hurwitz spaces. https://arxiv.org/abs/2101.12264

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