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

Abstract

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 ${\bar{M}}_{0,n}$.

References in corpus (1)

• Modular compactifications of M_{1,n}

Cited by in corpus (8)

• Alternate Compactifications of Moduli Spaces of Curves
• Singularities with G_m-action and the log minimal model program for ${\bar{M}}_g$
• Moduli spaces of weighted pointed stable rational curves via GIT
• Conformal blocks divisors on ${\bar{M}}_{0,n}$ from $s{l}_2$
• Towards Mori's program for the moduli space of stable maps
• Moduli spaces of weighted stable curves and log canonical models of ${\bar{M}}_{g,n}$
• Log canonical models for the moduli space of pointed stable rational curves
• Mori's program for the moduli space of pointed stable rational curves