Mathematical Research Letters

Volume 18 (2011)

Number 4

Moduli of weighted pointed stable curves and log canonical models of $\Mg{g,n}$

Pages: 663 – 675



Maksym Fedorchuk (Department of Mathematics, Columbia University, 2990 Broadway, New York, NY 10027, USA)


We establish nefness of certain tautological divisor classes on $\Mg{0,n}$, and more generally on Hassett’s spaces $\Mg{g,\A}$, and prove that $\Mg{g,\A}$ is a log canonical model of $\Mg{g,n}$ for every genus $g$ and every weight vector $\A$.

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