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

dc.creatorCeyhan, Ozgur
dc.date2007-02-16
dc.date2009-04-08
dc.date.accessioned2026-07-07T13:01:47Z
dc.date.available2026-07-07T13:01:47Z
dc.descriptionThe 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 $A$.
dc.descriptionFinal version (to appear in Advances in Math), 20 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0702472
dc.identifierhttp://arxiv.org/abs/math/0702472
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226266
dc.subjectAlgebraic Geometry
dc.subjectAlgebraic Topology
dc.titleChow groups of the moduli spaces of weighted pointed stable curves of genus zero
dc.typetext

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