2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150043Let S be a Dedekind scheme with fraction field K. We study the following problem: given a Del Pezzo surface X, defined over K, construct a distinguished integral model of X, defined over all of S. We provide a satisfactory answer if S is a smooth complex curve, and a conjectural answer if X is a cubic Del Pezzo surface over (nearly) arbitrary S.AMSTeXAlgebraic Geometry14E30 (primary) 14E05 (secondary)text