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

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

2007-09-25

arxiv.org/abs/0709.4037v1

Mathematics

Algebraic Geometry

17 pages, 2 figures

Scientific paper

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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