%0 Journal Article %T Continuous extension of arithmetic volumes %A Atsushi Moriwaki %J Mathematics %D 2008 %I arXiv %X This 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. %U http://arxiv.org/abs/0809.1129v1