0000000000394127

AUTHOR

Friedrich Wilhelm Knöller

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Multiplizit�ten ?unendlich-ferner? Spitzen

1979

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.

Pure mathematicsHomogeneousGeneral MathematicsBounded functionMathematical analysisLocal ringBoundary (topology)AutomorphismQuotientMathematicsMonatshefte f�r Mathematik
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