2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/231422The arithmetic Chow groups and their product structure are extended from the category of regular arithmetic varieties to regular Deligne-Mumford stacks over the ring of integers in a number field.17 pages. Exposition improved. Final version, to appear in the Fields Institute CommunicationsAlgebraic Geometry14G40Arithmetic Intersection Theory on Deligne-Mumford Stackstext