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arxiv: 1004.4938 · v2 · pith:2UI3D53Mnew · submitted 2010-04-28 · 🧮 math.AG

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

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keywords spacescurvesstablecanonicalhassettmodelspointedweighted
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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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