2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72596We discover a class of projective self-dual algebraic varieties. Namely, we consider actions of isotropy groups of complex symmetric spaces on the projectivized nilpotent varieties of isotropy modules. For them, we classify all orbit closures $X$ such that $X=\check X$ where $\check X$ is the projective dual of $X$. We give algebraic criteria of projective self-duality for the considered orbit closures.34 pagesAnalysis of PDEsAlgebraic Geometry14L; 14M17; 17B70text