2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102080Let G be a semisimple connected linear algebraic group over C, and X a wonderful G-variety. We study the possibility of realizing X as a closed subvariety of the projective space of a simple G-module. We describe the wonderful varieties having this property as well as the linear systems giving rise to such immersions. We also prove that any ample line bundle on a wonderful variety is very ample.LaTeX, 20 pagesRepresentation TheoryAlgebraic Geometry14L30; 14M17Simple Immersions of Wonderful Varietiestext