Chow groups of the moduli spaces of weighted pointed stable curves of genus zero

2007/02/16 by Ozgur Ceyhan, Ceyhan, Ozgur
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #math.AG #math.AT

paper · pdf · doi:10.48550/arxiv.math/0702472

Final version (to appear in Advances in Math), 20 pages, 1 figure

arxiv created 2009/04/08 · arxiv updated 2009/12/01

Abstract

The moduli space M_A of weighted pointed stable curves of genus zero is stratified according to the degeneration types of such curves. We show that the homology groups of the moduli space M_A are generated by the strata of M_A and give all additive relations between them. We also observe that the Chow groups A_i M_A and the homology groups H_2i M_A are isomorphic. This generalizes Kontsevich-Manin's and Losev-Manin's theorems to arbitrary weight data A.

Related

• Moduli spaces of weighted pointed stable curves
• Graph homology of moduli space of pointed real curves of genus zero
• Moduli stacks L_g,S
• The moduli space of stable n-pointed curves of genus zero
• Tautological relations in moduli spaces of weighted pointed curves