Die Fundamentalgruppen der Siegelschen Modulvarietäten. (The fundamental groups of the Siegel varieties of moduli)
type: Item
instance of: scholarly article
title: Die Fundamentalgruppen der Siegelschen Modulvarietäten. (The fundamental groups of the Siegel varieties of moduli)
zbMATH Open document ID: 0617.32045
DOI: 10.1007/BF02941611
published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
publication date: 1987-01-01T00:00:00Z
review text: We show by toroidal methods that Satake's compactification of \(S_ n/\Gamma _ n(\lambda)\) as well as any desingularisation is simply connected for \(n\geq 2\), \(\lambda\) \(\geq 3\). Here \(S_ n\) is Siegel's upper half plane of degree n and \(\Gamma _ n(\lambda)\) the congruence subgroup of level \(\lambda\) in \(Sp_ n{\mathbb{Z}}\).
Mathematics Subject Classification ID: 32N15
zbMATH DE Number: 4000386
zbMATH Keywords: Satake's compactification
zbMATH Keywords: desingularization
zbMATH Keywords: Siegel modular groups of degree n
zbMATH Keywords: Siegel upper half-plane
author: Friedrich Wilhelm Knoeller
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02941611
OpenAlex ID: W2083810944
description: scientific article; zbMATH DE number 4000386