An orbifold partition of ${\overline{M}_g^n}$

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dc.creatorPikaart, Martin
dc.date1995-03-27
dc.date.accessioned2026-07-07T09:06:25Z
dc.date.available2026-07-07T09:06:25Z
dc.descriptionWe define a partition of ${\overline{M}_g^n}$ and show that the cohomology of ${\overline{M}_g^n}$ in a given degree admits a filtration whose respective quotients are isomorphic to the shifted cohomology groups of the parts if $g$ is sufficiently large. This implies that the map $H^k({\overline{M}_g^n}) \ra H^k(M_g^n)$ is onto and that the Hodge structure of $H^k(M_g^n)$ is pure of weight $k$ if $g \geq 2k+1$. Our main ingredient is the stability theorem of Harer and Ivanov.
dc.description16 pages, Latex Version 2.09, will appear in The Moduli space of Curves (eds. Dijkgraaf, Faber, van der Geer), Progress in Math., Birkh"auser
dc.identifierhttps://arxiv.org/abs/alg-geom/9503019
dc.identifierhttp://arxiv.org/abs/alg-geom/9503019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150000
dc.subjectAlgebraic Geometry
dc.subject14H10
dc.titleAn orbifold partition of ${\overline{M}_g^n}$
dc.typetext

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