PROJECTIVITY OF THE MODULI SPACE OF α-STABLE CURVES AND THE LOG MINIMAL PROGRAM FOR Mg,n
نویسنده
چکیده
For the moduli stacks of α-stable curves defined in [AFSv14], we prove nefness of natural log canonical divisors generalizing a well-known result of Cornalba and Harris for Mg,n. We 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.
منابع مشابه
Second Flip in the Hassett-keel Program: Projectivity
For the moduli stacks of α-stable curves introduced in [AFSv15], we prove nefness of natural log canonical divisors 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 Hasse...
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