Mori's program for the moduli space of pointed stable rational curves

Abstract

We prove that, assuming the F-conjecture, the log canonical model of the pair $({\bar{M}}_{0,n},\sum a_i{\psi }_i)$ is the Hassett's moduli space of weighted pointed stable rational curves without any modification of weight coefficients. For the boundary weight cases, we prove that the birational model is the GIT quotient of the product of the projective lines. This is a generalization of Simpson's theorem for symmetric weight cases.

5 pages

References in corpus (5)

• On Log Canonical Models of the Moduli Space of Stable Pointed Curves
• Nef divisors on ${\bar{M}}_{0,n}$ from GIT
• Moduli spaces of weighted pointed stable rational curves via GIT
• Ample divisors on moduli spaces of weighted pointed rational curves, with applications to log MMP for ${\bar{M}}_{0,n}$
• Moduli spaces of weighted stable curves and log canonical models of ${\bar{M}}_{g,n}$

Cited by in corpus (1)

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