2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120279We show the existence of several new families of non-compact constant mean curvature surfaces: (i) singly-punctured surfaces of arbitrary genus $g \geq 1$, (ii) doubly-punctured tori, and (iii) doubly periodic surfaces with Delaunay ends.14 pages, 10 figuresDifferential Geometry53A10text