2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159219The purpose of this note is to review an algebraic proof of the finite generation theorem due to Birkar-Cascini-Hacon-McKernan whose method is based on the Minimal Model Program. A survey article for Current Development in Mathematics 2007.45 pagesAlgebraic Geometry14E30text