Ample divisors on moduli spaces of weighted pointed rational curves, with applications to log MMP for Mˉ0,n\bar{M}_{0,n}

preprint2008arXivOpen access

Abstract

We introduce a new technique for proving positivity of certain divisor classes on Mˉ0,n\bar{M}_{0,n} and its weighted variants. Our methods give an unconditional description of the spaces of symmetric weighted pointed rational curves as log canonical models of Mˉ0,n\bar{M}_{0,n}.

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