Finiteness Theorem for Sp(4,Z)

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

We 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 $H$.

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