%0 Journal Article %T Height and Intersection for a family of semi-stable curves %A Shu Kawaguchi %J Mathematics %D 1999 %I arXiv %X In this paper, we consider an arithmetic Hodge index theorem for a family of semi-stable curves f: X \to B with f_{\bf C} being smooth, generalizing Faltings-Hriljac's arithmetic Hodge index theorem for an arithmetic surface. %U http://arxiv.org/abs/math/9901127v1