2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139468We classify the entire minimal vertical graphs in the 3 dimensional Heisenberg group Nil endowed with a Riemannian left-invariant metric. This classification, which provides a solution to the Bernstein problem in Nil, is given in terms of the Abresch-Rosenberg holomorphic differential for minimal surfaces in Nil.17 pages, 1 figure, revised versionDifferential Geometry53A10Holomorphic quadratic differentials and the Bernstein problem in Heisenberg spacetext