Stable Base Locus Decompositions of Kontsevich Moduli Spaces

2009/02/11 by Chen, Dawei, Coskun, Izzet
#14D22 #14E05 #14E30 #14M15 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0902.1785

Abstract

In this paper, we determine the stable base locus decomposition of the Kontsevich moduli spaces of degree two and three stable maps to Grassmannians. This gives new examples of the decomposition for varieties with Picard rank three. We also discuss the birational models that correspond to the chambers in the decomposition.

Related

• Mori's program for the moduli space of conics in Grassmannian
• Moduli space of stable maps to projective space via GIT
• Towards Mori's program for the moduli space of stable maps
• Stable maps in higher dimensions
• Birational Models of the Moduli Spaces of Stable Vector Bundles over Curves