On the transformation law for theta-constants (Q1091416)
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scientific article; zbMATH DE number 4010600
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the transformation law for theta-constants |
scientific article; zbMATH DE number 4010600 |
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On the transformation law for theta-constants (English)
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1987
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Using the well known isomorphism \(\mathrm{Sp}_4(\mathbb Z/2\mathbb Z)\overset \sim \rightarrow \Sigma_6\) a certain list of data from symplectic geometry is translated equivariantly into the language of permutation groups, i.e. sets with \(\Sigma_6\) action. These data naturally arise in the study of the geometry of the Igusa moduli space of genus 2 and level 2.
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theta-constants
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Siegel modular varieties
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transformation law
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symplectic group
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permutation groups
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Igusa moduli space
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