A geometric invariant theory construction of moduli spaces of stable maps

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dc.creatorBaldwin, Elizabeth
dc.creatorSwinarski, David
dc.date2007-06-11
dc.date2007-08-27
dc.date.accessioned2026-07-07T10:10:45Z
dc.date.available2026-07-07T10:10:45Z
dc.descriptionWe construct the moduli spaces of stable maps, \bar M_g,n(P^r,d), via geometric invariant theory (GIT). This construction is only valid over Spec C, but a special case is a GIT presentation of the moduli space of stable curves of genus g with n marked points, \bar M_g,n; this is valid over Spec Z. Our method follows that used in the case n=0 by Gieseker to construct \bar M_g, though our proof that the semistable set is nonempty is entirely different.
dc.description75 pages LaTeX; the GIT construction of moduli spaces of stable n-pointed curves is now given over the integers
dc.identifierhttps://arxiv.org/abs/0706.1381
dc.identifierhttp://arxiv.org/abs/0706.1381
dc.identifierInternational Mathematics Research Papers (2008) Vol. 2008 : article ID rpn004, 104 pages
dc.identifierdoi:10.1093/imrp/rpn004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171682
dc.subjectAlgebraic Geometry
dc.subject14H10 (Primary); 14D22, 14N35 (Secondary)
dc.titleA geometric invariant theory construction of moduli spaces of stable maps
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