2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122511We study the cone of effective divisors and the total coordinate ring of wonderful varieties, with applications to their automorphism group. We show that the total coordinate ring of any spherical variety is obtained from that of the associated wonderful variety by a base change of invariant subrings.Final version, to appear in Journal of AlgebraAlgebraic GeometryRepresentation Theory14E30; 14J50; 14L30; 14M17text