2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65381An expository lecture on the analogy between the subjects of the title. Delivered at the International Conference on Number Theory at the Korea Institute for Advanced Study in December 1997.Not for separate publicationAlgebraic GeometryNumber Theory14G01; 11G01Height inequalities and canonical class inequalitiestext