2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150068For line bundles on arithmetic varieties we construct height functions using arithmetic intersection theory. In the case of an arithmetic surface, generically of genus g, for line bundles of degree g equivalence is shown to the height on the Jacobian defined by the Theta divisor.Mathematica Gottingensis, Heft 16, 1995, revised version, LaTeX2.09Algebraic GeometryHeights for line bundles on arithmetic surfacestext