Über die Fundamentalgruppen Siegelscher Modulvarietäten vom Grade 2. (On the fundamental groups of Siegel modular varieties of degree 2.) (Q1078275)
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scientific article; zbMATH DE number 3959637
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Über die Fundamentalgruppen Siegelscher Modulvarietäten vom Grade 2. (On the fundamental groups of Siegel modular varieties of degree 2.) |
scientific article; zbMATH DE number 3959637 |
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Über die Fundamentalgruppen Siegelscher Modulvarietäten vom Grade 2. (On the fundamental groups of Siegel modular varieties of degree 2.) (English)
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1987
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We show by toroidal methods that Igusa's desingularisation (and hence any desingularisation) of Satake's compactification of \(S_ 2/\Gamma_ 2(n)\) is simply-connected for \(n\geq 2\). Here \(S_ 2\) is Siegel's upper half plane of degree 2 and \(\Gamma_ 2(n)\) the congruence subgroup of level n in \(SP_ n{\mathbb{Z}}\).
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Siegel modular variety
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Satake compactification
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desingularisation
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fundamental group
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