2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58668This is an expanded version of the notes for the lectures given by the author at RIMS in the summer of 1999 to give a detailed account of the proof for the (weak) factorization theorem of birational maps by Abramovich-Karu-Matsuki-Włodarczyk.105 pagesAlgebraic Geometrytext