2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168571This paper is the sequel of the paper "Continuity of volumes on arithmetic varieties", in which we established the arithmetic volume function of smooth hermitian Q-invertible sheaves and proved its continuity. The continuity of the volume function has a lot of applications as treated in the paper as above. In this paper, we would like to consider its continuous extension over R.33 pagesAlgebraic GeometryNumber Theorytext