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

Details A GIT Construction of Moduli Spaces of Stable Maps in Positive Characteristic A GIT Construction of Moduli Spaces of Stable Maps in Positive Characteristic

2007-07-13

arxiv.org/abs/0707.2050v2

Journal of the London Mathematical Society 2008 78(1): 107-124

Mathematics

Algebraic Geometry

20 pages; the main theorem is now proved over a more general base

Scientific paper

10.1112/jlms/jdn014

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.

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