2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150351We show that for g > 2k+2 the k-rational homotopy type of the moduli space M_{g,n} of algebraic curves of genus g with n punctures is independent of g, and the space M_{g,n} is k-formal. This implies the existence of a limiting rational homotopy type of M_{g,n} as g goes to infinity and the formality of it.7 pages, 1 figureAlgebraic Geometry14H10 (Primary) 32G15, 55P62 (Secondary)Stability of the Rational Homotopy Type of Moduli Spacestext