Semistable reduction in characteristic 0 for families of surfaces and three-folds

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/264Let F:X->B be a morphism of varieties in characteristic zero. The problem of semistable reduction of F was stated as a problem in the combinatorics of polyhedral complexes by Abramovich and Karu (alg-geom/9707012). In this paper we solve the combinatorial problem when the relative dimension of F is not bigger than 3.AMS-LaTeX, 7 pagesAlgebraic Geometry14M25, 14D05Semistable reduction in characteristic 0 for families of surfaces and three-foldstext