2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/222488We give an introduction to the theory of wonderful G-varieties, with many examples when G is simple of type F4. We present results and open problems about these varieties: on their classification, on their isotropy groups, on morphisms between them, and on their relations with the representation theory of G.v1 64 pages; v2 65 pages, new introduction, more references, some small reformulations and correctionsAlgebraic GeometryRepresentation Theory14M17 (Primary), 14L30, 20G05 (Secondary)text