Covers of stacky curves and limits of plane quintics

Deopurkar, Anand

doi:10.1090/tran/7301

Covers of stacky curves and limits of plane quintics
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Trans. Amer. Math. Soc. 371 (2019), 549-588 Request permission

Abstract:

We construct a well-behaved compactification of the space of finite covers of a stacky curve using admissible cover degenerations. Using our construction, we compactify the space of tetragonal curves on Hirzebruch surfaces. As an application, we explicitly describe the boundary divisors of the closure in $\overline {\mathcal M}_6$ of the locus of smooth plane quintic curves.

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