2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171683In 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.20 pages; the main theorem is now proved over a more general baseAlgebraic Geometry14H10 (Primary); 14D20, 14D22, 14N35 (Secondary)text