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

2011/01/06 by Han‐Bom Moon, Moon, Han-Bom
Mathematics · #14D20 #14E30 #14H10 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1101.1166

openalex publication_date 2011/01/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We run Mori's program for the moduli space of pointed stable rational curves with divisor K +∑ a_iψ_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.

Citations

• Mori's program for the moduli space of pointed stable rational curves
• Conformal blocks divisors on M_0,n from sl₂
• Combinatorial and algebro-geometric cohomology classes on the moduli spaces of curves
• On Log Canonical Models of the Moduli Space of Stable Pointed Curves

Related

• Mori's program for the moduli space of pointed stable rational curves
• On Log Canonical Models of the Moduli Space of Stable Pointed Curves
• Log canonical models for M_g,n
• Remarks on two problems by Hassett
• Moduli spaces of weighted pointed stable rational curves via GIT