2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78357In this short note, we will show that the metric of Deligne's pairing is continous.Version 2.01. Several typos are corrected. This will appear in IMRN (International Mathematics Research Notices)Algebraic GeometryNumber TheoryThe continuity of Deligne's pairingtext