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

David Ishii Smyth; Maksym Fedorchuk

arxiv: 0810.1677 · v1 · pith:G7KPZAOUnew · submitted 2008-10-09 · 🧮 math.AG

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

Maksym Fedorchuk , David Ishii Smyth This is my paper

classification 🧮 math.AG

keywords weightedcurvespointedrationalspacesampleapplicationscanonical

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

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

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