2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69771This note gives a survey on some results related to the stable reduction of three point covers, which were the topic of my talk at the {\em Journées Arithmetiques} 2003 in Graz.13 pages, 1 figureAlgebraic GeometryNumber Theory14H30, 11G20text