2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110358We prove that the invariant Hilbert scheme parametrising the equivariant deformations of the affine multicone over a flag variety is, under certain hypotheses, an affine space. The proof is based on the construction of a wonderful variety in a fixed multiprojective space.30 pagesAlgebraic GeometryRepresentation Theory14L30; 14M17; 14D22; 20G05text