2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77581In this paper, we introduce six axioms for relative Bott-Chern secondary characteristic classes and prove the uniqueness and existence theorem for them. Such a work provides us a natural way to understand and hence to prove the arithmetic Grothendieck-Riemann-Roch theorem.AMS-TEXAlgebraic GeometryDifferential Geometrytext