The SVG (Superordenador Virtual Galego) is a system developed for the dynamic integration of computationally heterogeneous and geographically distributed nodes connected to the main Galician communications network (RECETGA), so that they can be taken as a single virtual supercomputer. The SVG manages the distribution of jobs among the systems that offer resources, as well as the migration of tasks whenever a computer becomes unavailable or overloaded with local processes. It also keeps track of the global execution of all the tasks it is assigned ensuring at all times that the resources taken up do not compromise the local usage of the shared machines. In this paper we describe briefly the SVG architecture and we discuss the implementation of the scheduling scheme designed for managing distributed resources in this platform. We also present encouraging results of a real application running on the SVG.