2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157802We present the complex analytic and principal complex analytic realizability of a link in a 3-manifold $M$ as a tool for understanding the complex structures on the cone $C(M)$.6 pages. A version of this preprint has been submitted to the proceedings of ildt2006 (an international conference on topology in Hiroshima, Japan, July 2006)Algebraic GeometryGeometric Topologytext