The one-dimensional stratum in the boundary of the moduli stack of stable curves

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dc.creatorZintl, Joerg
dc.date2007-12-27
dc.date.accessioned2026-07-07T08:51:25Z
dc.date.available2026-07-07T08:51:25Z
dc.descriptionThe moduli stack of Deligne-Mumford stable curves of genus g admits a stratification, so that the number of nodes of the curves belonging to one stratum is constant. The irreducible components of the stratum corresponding to curves with exactly 3g-4 nodes are one-dimensional substacks. We show how they can be related to moduli stacks of (permutation classes of) pointed stable curves. Using this, we construct all components of this stratum in a new way as quotient stacks.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/0712.4251
dc.identifierhttp://arxiv.org/abs/0712.4251
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144929
dc.subjectAlgebraic Geometry
dc.subject14H10 (Primary) 14H37 (Secondary)
dc.titleThe one-dimensional stratum in the boundary of the moduli stack of stable curves
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