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

Ozgur Ceyhan
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Abstract

The 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 $A$.

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Ozgur Ceyhan. 2009-04-08. Chow groups of the moduli spaces of weighted pointed stable curves of genus zero. https://arxiv.org/abs/math/0702472

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