2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/148392Let $M$ be a compact hyperkaehler manifold. The hyperkaehler structure equips $M$ with a set $R$ of complex structures parametrized by $CP^1$, called "the set of induced complex structures". It was known previously that induced complex structures are non-algebraic, except may be a countable set. We prove that a countable set of induced complex structures is algebraic, and this set is dense in $R$. A more general version of this theorem was proven by Fujiki.reference to Fujiki paper added in revision. LaTeX2e, 6 pagesAlgebraic Geometrytext