2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149752Using examples of compact complex 3-manifolds which arise as twistor spaces, we show that the class of compact complex manifolds bimeromorphic to Kähler manifolds is not stable under small deformations of complex structure.12 pages, LaTeX, to appear in JAMSAlgebraic Geometrytext