Log canonical models for the moduli space of pointed stable rational curves

Abstract

We run Mori's program for the moduli space of pointed stable rational curves with divisor $K+\sum a_i{\psi }_i$. We prove that, without assuming the F-conjecture, the birational model for the pair is the Hassett's moduli space of weighted pointed stable rational curves, without any modification of weight coefficients.

arXiv comment13 pages

References in corpus (7)

• Combinatorial and algebro-geometric cohomology classes on the moduli spaces of curves
• On Log Canonical Models of the Moduli Space of Stable Pointed Curves
• Nef divisors on ${\bar{M}}_{0,n}$ from GIT
• Ample divisors on moduli spaces of weighted pointed rational curves, with applications to log MMP for ${\bar{M}}_{0,n}$
• Conformal blocks divisors on ${\bar{M}}_{0,n}$ from $s{l}_2$
• Moduli spaces of weighted stable curves and log canonical models of ${\bar{M}}_{g,n}$
• Mori's program for the moduli space of pointed stable rational curves

Cited by in corpus (2)

• GIT Compactifications of M_{0,n} and Flips
• Log canonical models for ${\bar{M}}_{g,n}$