Mathematical Research Letters

Volume 18, Issue 4, July 2011 pp. 663-675.

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

Authors: Maksym Fedorchuk
Author institution: Department of Mathematics, Columbia University, 2990 Broadway, New York, NY 10027, USA

Summary: 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 $\A$.

Contents Full-Text PDF