Abstract We 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… Click to show full abstract
Abstract We 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.
Keywords:
reductive principal;
spaces reductive;
principal bundles;
hler property;
base
Journal Title: Proceedings of the Edinburgh Mathematical Society
Year Published: 2022
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Journal Title: Proceedings of the Edinburgh Mathematical Society
Year Published: 2022
Link to full text (if available)
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recommendations!