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Mathematics > Algebraic Geometry

arXiv:0707.2050 (math)
[Submitted on 13 Jul 2007 (v1), last revised 27 Aug 2007 (this version, v2)]

Title:A GIT Construction of Moduli Spaces of Stable Maps in Positive Characteristic

Authors:Elizabeth Baldwin
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Abstract: In a previous paper, the author and David Swinarski constructed the moduli spaces of stable maps, \bar M_g,n(P^r,d), via geometric invariant theory (GIT). That paper required the base field to be the complex numbers, a restriction which this paper removes: here the coarse moduli spaces of stable maps are constructed via GIT over a more general base.
Comments: 20 pages; the main theorem is now proved over a more general base
Subjects: Algebraic Geometry (math.AG)
MSC classes: 14H10 (Primary); 14D20, 14D22, 14N35 (Secondary)
Cite as: arXiv:0707.2050 [math.AG]
  (or arXiv:0707.2050v2 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.0707.2050
Journal reference: Journal of the London Mathematical Society 2008 78(1): 107-124
Related DOI: https://doi.org/10.1112/jlms/jdn014

Submission history

From: Elizabeth Baldwin [view email]
[v1] Fri, 13 Jul 2007 16:19:41 UTC (18 KB)
[v2] Mon, 27 Aug 2007 15:53:05 UTC (19 KB)
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