Covers of stacky curves and limits of plane quintics

Anand Deopurkar

doi:10.1090/tran/7301

Covers of stacky curves and limits of plane quintics

Anand Deopurkar^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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 Μ₆ of the locus of smooth plane quintic curves.

Original language	English
Pages (from-to)	549-588
Number of pages	40
Journal	Transactions of the American Mathematical Society
Volume	371
Issue number	1
Early online date	12 Jul 2018
DOIs	https://doi.org/10.1090/tran/7301
Publication status	Published - Jan 2019
Externally published	Yes

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10.1090/tran/7301

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title = "Covers of stacky curves and limits of plane quintics",

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 Μ6 of the locus of smooth plane quintic curves.",

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AB - 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 Μ6 of the locus of smooth plane quintic curves.

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Covers of stacky curves and limits of plane quintics

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