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Second Flip in the Hassett-Keel program: Projectivity

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.

CollectionsANU Research Publications
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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