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(H, C)-groups with positive line bundles

Published online by Cambridge University Press:  22 January 2016

Yukitaka Abe
Yukitaka Abe*
Affiliation:
Department of Mathematics Toyama University Gofuku, Toyama, Japan
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Let G be a connected complex Lie group. Then there exists the smallest closed complex subgroup G0 of G such that G/G0 is a Stein group (Morimoto). Moreover G0 is a connected abelian Lie group and every holomorphic function on G0 is a constant. G0 is called an (H, C)-group or a toroidal group. Every connected complex abelian Lie group is isomorphic to the direct product G0 × Cm × C*n, where G0 is an (H,C)-group.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 107 , September 1987 , pp. 1 - 11
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1987

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