The Journal of the Indian Mathematical Society

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On the Compactification of the Siegel Space


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1 Tokyo University, Tokyo, Japan
     

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Let Hn be the generalized upper half-plane of dimension v =1/2n(n + 1) and Mn be Siegel's modular group of degree n operating on Hn Our purpose is to obtain a suitable compactification of the quotient space ir Vn = n\Mn.
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  • On the Compactification of the Siegel Space

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Authors

Ichiro Satake
Tokyo University, Tokyo, Japan

Abstract


Let Hn be the generalized upper half-plane of dimension v =1/2n(n + 1) and Mn be Siegel's modular group of degree n operating on Hn Our purpose is to obtain a suitable compactification of the quotient space ir Vn = n\Mn.