2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159346Following Shokurov's ideas, we give a short proof of the following klt version of his result: termination of terminal log flips in dimension d implies that any klt pair of dimension d has a log minimal model or a Mori fibre space. Thus, in particular, any klt pair of dimension 4 has a log minimal model or a Mori fibre space.6 pagesAlgebraic GeometryLog minimal models according to Shokurovtext