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

Mathematics – Algebraic Geometry

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Scientific paper

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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