Momentum maps and the Kähler property for base spaces of reductive principal bundles
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Published:2023-02
Issue:1
Volume:66
Page:218-230
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ISSN:0013-0915
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Container-title:Proceedings of the Edinburgh Mathematical Society
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language:en
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Short-container-title:Proceedings of the Edinburgh Mathematical Society
Author:
Greb Daniel,Miebach Christian
Abstract
AbstractWe investigate the complex geometry of total spaces of reductive principal bundles over compact base spaces and establish a close relation between the Kähler property of the base, momentum maps for the action of a maximal compact subgroup on the total space, and the Kähler property of special equivariant compactifications. We provide many examples illustrating that the main result is optimal.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics
Reference21 articles.
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