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arXiv · 2209.00521

Momentum maps and the K\"ahler property for base spaces of reductive principal bundles

Daniel Greb·Christian Miebach
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Abstract

We investigate the complex geometry of total spaces of reductive principal bundles over compact base spaces and establish a close relation between the K\"ahler property of the base, momentum maps for the action of a maximal compact subgroup on the total space, and the K\"ahler property of special equivariant compactifications. We provide many examples illustrating that the main result is optimal.

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Daniel Greb, Christian Miebach. 2022-09-01. Momentum maps and the K\"ahler property for base spaces of reductive principal bundles. https://doi.org/10.1017/s0013091523000123

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