Chow groups of the moduli spaces of weighted pointed stable curves of genus zero
Abstract
The moduli space MA 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 MA are generated by the strata of MA and give all additive relations between them. We also observe that the Chow groups Ai MA and the homology groups H2i MA are isomorphic. This generalizes Kontsevich-Manin's and Losev-Manin's theorems to arbitrary weight data A.
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