2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58732We study the general elements of the moduli spaces (\MM_{\PP^2} (r, c_1, c_2) ) of stable holomorphic vector bundle on $\PP^2$ and their minimal free resolution. Incidentally, a quite easy proof of the irreducibility of (\MM_{\PP^2} (r, c_1, c_2)) is shown.8 pages, amslatexAlgebraic Geometry14F05; 14D20Minimal resolution of general stable vector bundles on $\PP^2$text