2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213030We propose a criterion of equidistribution by the differentiability of certain arithmetic invariants. Combined with the slope method and the asymptotic measures, this criterion gives a new "conceptual" proof to equidistribution results originally obtained via the variation principle.Algebraic GeometryNumber Theorytext