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Multiplizitäten “unendlich-ferner” Spitzen

Multiplicities of local rings of cusps at infinity

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Abstract

LetX be the quotient of a bounded symmetric domainD by an arithmetically defined subgroup Γ of all analytic automorphisms ofD and letX * be theSatake-compactification ofX. In the present note, the multiplicities of the local rings of the zero-dimensional boundary components ofX * will be computed in a completely elementary manner using reduction-theory in selfadjoint homogeneous cones.

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Authors and Affiliations

  1. Fachbereich Mathematik, Johannes-Gutenberg-Universität, Saarstraße 21, D-6500, Mainz, Bundesrepublik Deutschland

    Friedrich Wilhelm Knöller

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  1. Friedrich Wilhelm Knöller
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Knöller, F.W. Multiplizitäten “unendlich-ferner” Spitzen. Monatshefte für Mathematik 88, 7–26 (1979). https://doi.org/10.1007/BF01305854

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  • DOI: https://doi.org/10.1007/BF01305854

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