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 | |
Publication status | Published - Jan 2019 |
Externally published | Yes |