A GIT construction of moduli spaces of stable maps in positive characteristic

In a previous paper, the author and Swinarski constructed themoduli spaces of stable maps, _g,n(P^r, d) via geometric invariant theory (GIT). That paper requiredthe base field to be the complex numbers, a restriction thatthis paper removes: here the coarse moduli spaces of stablemaps are constructed via GIT over a more general base.