Moduli spaces of weighted stable curves and log canonical models of $\bar{M}_{g,n}$

Details Moduli spaces of weighted stable curves and log canonical models of $\bar{M}_{g,n}$ Moduli spaces of weighted stable curves and log canonical models of $\bar{M}_{g,n}$

2010-04-28

arxiv.org/abs/1004.4938v2

Math. Res. Lett., 18 (2011) no. 4, 663-675

Mathematics

Algebraic Geometry

A connection with Koll\'ar's semipositivity results is explicated. Added a section showing that the GIT cone of Alexeev-Swinar

Scientific paper

Using Koll\'ar's semipositivity results, we produce a number of nef and ample
tautological divisors on Hassett's spaces of weighted stable pointed curves. As
an application, we prove that Hassett's spaces are log canonical models of
Deligne-Mumford spaces of stable pointed curves.

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