2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64433A cheap method for constructing canonical models and complete moduli for complex projective varieties with a structure called "rational plurifibration" is given. A result about semistable reduction (whose nature is slightly different from alg-geom/9707012) is deduced. The method involves recursive application of moduli stacks of twisted stable maps (math.AG/9908167) and a systematic circumvention of any difficult MMP issues.8 pagesAlgebraic Geometry14D22; 14E30; 14A20Canonical models and stable reduction for plurifibered varietiestext