2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77229We show that under mild boundary conditions the moduli space of non-compact curves on a complex surface is (locally) an analytic subset of a ball in a Banach manifold, defined by {\it finitely} many holomorphic function.AMSTeX, 23 pages, no figursComplex Variables32G13; 14H15; 46G20text