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Finiteness Theorem for Sp(4,Z)

Lev A. Borisov

alg-geomarXiv:alg-geom/9510002

Abstract

We consider Siegel upper half space of rank two H2 and different subgroups H⊂eq Sp(4,Z) of finite index. The purpose of this paper is to prove that the field of rational functions of H2/H has general type for all but the finite number of H.

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