2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79480This is an expository article on the theory of algebraic stacks. After introducing the general theory, we concentrate in the example of the moduli stack of vector budles, giving a detailed comparison with the moduli scheme obtained via geometric invariant theory.31 pages, LaTeX2e, Xy-picAlgebraic Geometrytext