Correnti positive: uno strumento per l'analisi globale su varietà complesse

This paper is a survey on positive currents on complex manifolds. It is essentially divided into two parts. In the first part the author illustrates principal results on closed, positive currents: This is a very important class of currents for complex manifolds because they are a natural generalization of submanifolds. In the second part pluriharmonic and plurisubharmonic positive currents are illustrated; this class is important because of the characterization of compact Kähler manifolds in terms of currents by Harvey and Lawson. At the end of the paper an appendix, containing some preliminaries on the subject, helps the nonexpert reader.