Second Flip in the Hassett-Keel program: Projectivity
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Alper, Jarod; Fedorchuk, Maksym; Smyth, David
Description
For the moduli stacks of α-stable curves introduced in [4], we prove nefness of natural log canonical divisors, thus generalizing a well-known result of Cornalba and Harris for the moduli stack of Deligne–Mumford stable curves. We then deduce the projectivity of the good moduli spaces of α-stable curves and identify these moduli spaces with the log canonical models of Mg ,n appearing in the Hassett–Keel program.
Collections | ANU Research Publications |
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Date published: | 2017 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/160753 |
Source: | International Mathematics Research Notices |
DOI: | 10.1093/imrn/rnw216 |
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