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On special values of theta functions of genus two. (English) Zbl 0974.11027
Summary: We study a certain finitely generated multiplicative subgroup of the Hilbert class field of a quartic CM field. It consists of special values of certain theta functions of genus 2 and is analogous to the group of Siegel units. Questions of integrality of these special values are related to the arithmetic of the Siegel moduli space.

11G15 Complex multiplication and moduli of abelian varieties
11F46 Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms
11R16 Cubic and quartic extensions
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