2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/147160We consider Siegel upper half space of rank two ${\cal H}^2$ and different subgroups $H\subseteq {\bf Sp(4,Z)}$ of finite index. The purpose of this paper is to prove that the field of rational functions of ${\cal H}^2/H$ has general type for all but the finite number of $H$.Algebraic GeometryFiniteness Theorem for Sp(4,Z)text