Finiteness Theorem for Sp(4,Z)

Abstract

We consider Siegel upper half space of rank two ${\mathcal{H}}^2$ and different subgroups $H\subseteq \mathbf{Sp}(4,\mathbf{Z})$ of finite index. The purpose of this paper is to prove that the field of rational functions of ${\mathcal{H}}^2/H$ has general type for all but the finite number of $H$.

Cited by in corpus (1)

• The geometry of Siegel modular varieties