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arxiv: 0709.4037 · v1 · submitted 2007-09-25 · 🧮 math.AG

On Log Canonical Models of the Moduli Space of Stable Pointed Curves

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keywords canonicalmodelspointedcurvesmbarmodulispacestable
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We study the log canonical models of the moduli space MBar_{0,n} of pointed stable genus zero curves with respect to the standard log canonical divisors K+aD, where D denotes the boundary. In particular we show that, as a formal consequence of a conjecture by Fulton regarding the ample cone of MBar_{0,n}, these log canonical models are equal to certain of Hassett's weighted pointed curve spaces.

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