Nef divisors in codimension one on the moduli space of stable curves

dc.creatorMoriwaki, Atsushi
dc.date2000-05-02
dc.date2000-09-06
dc.date.accessioned2026-07-07T04:34:56Z
dc.date.available2026-07-07T04:34:56Z
dc.descriptionLet M_g be the moduli space of smooth curves of genus g >= 3, and \bar{M}_g the Deligne-Mumford compactification in terms of stable curves. Let \bar{M}_g^{[1]} be an open set of \bar{M}_g consisting of stable curves of genus g with one node at most. In this paper, we determine the necessary and sufficient condition to guarantee that a Q-divisor D on \bar{M}_g is nef over \bar{M}_g^{[1]}, that is, (D . C) >= 0 for all irreducible curves C on \bar{M}_g with C \cap \bar{M}_g^{[1]} \not= \emptyset.
dc.description30 pages, simplify the main result, add questions
dc.identifierhttps://arxiv.org/abs/math/0005012
dc.identifierhttp://arxiv.org/abs/math/0005012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59102
dc.subjectAlgebraic Geometry
dc.titleNef divisors in codimension one on the moduli space of stable curves
dc.typetext

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