2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78010In 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.21 pagesAlgebraic Geometrytext