Journal of the London Mathematical Society Advance Access originally published online on April 19, 2008
Journal of the London Mathematical Society 2008 78(1):107-124; doi:10.1112/jlms/jdn014
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© 2008 London Mathematical Society
A GIT construction of moduli spaces of stable maps in positive characteristic
Mathematical Institute
University of Oxford
24–29 St Giles'
Oxford
OX1 3LB
United Kingdom
In a previous paper, the author and Swinarski constructed the moduli spaces of stable maps,
g, n(Pr, d) via geometric invariant theory (GIT). That paper required the base field to be the complex numbers, a restriction that this paper removes: here the coarse moduli spaces of stable maps are constructed via GIT over a more general base.
2000 Mathematics Subject Classification 14H10 (primary); 14D20, 14D22, 14N35 (secondary).
Received July 13, 2007; published online April 19, 2008.