Die Fundamentalgruppen Siegelscher Modulvarietäten. (The fundamental groups of Siegel modular varieties)
type: Item
instance of: scholarly article
title: Die Fundamentalgruppen Siegelscher Modulvarietäten. (The fundamental groups of Siegel modular varieties)
zbMATH Open document ID: 0716.14009
DOI: 10.1007/BF02568758
author: Holger Heidrich-Riske
published in: Manuscripta Mathematica
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/155521
review text: Let \(\Gamma\) be a subgroup of finite index of the Siegel modular group \(Sp(g,{\mathbb{Z}})\) of degree \(g\geq 2.\) It acts on the so-called Siegel half plane \(S_ g\). Let Y be any normal proper modification of the Satake- compactification of \(S_ g/\Gamma\). The author proves: * If \(\Gamma\) is a principal congruence subgroup of arbitrary level \(\lambda\geq 1\), then Y is simply connected. * The fundamental group of Y is always finite. These results are based on a paper by \textit{J. Mennicke} [Math. Ann. 159, 115-129 (1965; Zbl 0134.265)].
Mathematics Subject Classification ID: 14G35
Mathematics Subject Classification ID: 14F35
Mathematics Subject Classification ID: 11G18
Mathematics Subject Classification ID: 11F46
zbMATH DE Number: 4179525
zbMATH Keywords: Siegel modular variety
zbMATH Keywords: fundamental group
MaRDI profile type: Publication
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OpenAlex ID: W2098256334
description: scientific article; zbMATH DE number 4179525