2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/1501861) Assuming log Minimal Model Conjecture, we give a construction of a complete moduli space of stable log pairs of arbitrary dimension generalizing directly the space M_{g,n} of pointed stable curves. Each stable pair has semi log canonical singularities. 2) We prove that a stable quasiabelian pair, defined by author and I.Nakamura as the limit of abelian varieties with theta divisors, has semi log canonical singularities.AMSLaTeX 1.2/LaTeX2e, Postscript file is also available at http://domovoy.math.uga.edu/preprintsAlgebraic Geometry14text