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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/226266The moduli space $\bar{M}_A$ 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 $\bar{M}_A$ are generated by the strata of $\bar{M}_A$ and give all additive relations between them. We also observe that the Chow groups $A_i \bar{M}_A$ and the homology groups $H_{2i} \bar{M}_A$ are isomorphic. This generalizes Kontsevich-Manin's and Losev-Manin's theorems to arbitrary weight data $A$.Final version (to appear in Advances in Math), 20 pages, 1 figureAlgebraic GeometryAlgebraic TopologyChow groups of the moduli spaces of weighted pointed stable curves of genus zerotext