2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149828We prove that all complex analytic subvarieties of a generic compact hyperkaehler manifold are even-dimensional. Moreover, these subvarieties are holomorphically symplectic.12 pages, LaTeXAlgebraic GeometryHyperkaehler and holomorphic symplectic geometrytext