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Journal Articles Proceedings of the Edinburgh Mathematical Society Year : 2023

Momentum maps and the Kähler property for base spaces of reductive principal bundles

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.
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Dates and versions

hal-03767262 , version 1 (01-09-2022)

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Daniel Greb, Christian Miebach. Momentum maps and the Kähler property for base spaces of reductive principal bundles. Proceedings of the Edinburgh Mathematical Society, 2023, 66 (1), pp.218-230. ⟨10.1017/S0013091523000123⟩. ⟨hal-03767262⟩
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