2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/209357The aim of this paper is to study the modified diagonal cycle in the triple product of a curve over a global field defined by Gross and Schoen. Our main result is an identity between the height of this cycle and the self-intersection of the relative dualising sheaf. We have some applications to the following problems in number theory and algebraic geometry.Number TheoryAlgebraic Geometrytext