2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112910In this paper, we build properly embedded singly periodic minimal surfaces which have infinite total curvature in the quotient by the period. These surfaces are constructed by adding a handle to the toroidal half-plane layers defined by H. Karcher. The technics that use is to solve a Jenkins-Serrin problem over a strip domain and to consider the conjugate minimal surface to the graph.20 pages, 3 figuresDifferential Geometry53A10text