Continuous extension of arithmetic volumes
Algebraic Geometry
2008-09-09 v1 Number Theory
Abstract
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.
Cite
@article{arxiv.0809.1129,
title = {Continuous extension of arithmetic volumes},
author = {Atsushi Moriwaki},
journal= {arXiv preprint arXiv:0809.1129},
year = {2008}
}
Comments
33 pages