%0 Journal Article %T The modular height of an abelian variety and its finiteness property %A Atsushi Moriwaki %J Mathematics %D 2003 %I arXiv %X In this note, we propose the modular height of an abelian variety defined over a field of finite type over Q. Moreover, we prove its finiteness property. %U http://arxiv.org/abs/math/0310196v1