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Results tagged with homogeneous-spaces
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user 12233
4
votes
0
answers
100
views
Modern reference for a theorem by Bott on the Dolbeault cohomology of compact homogeneous ma...
I am looking for a modern, maybe shorter or even easier, reference for Theorem II of Homogeneous vector bundles (R. Bott, Annals of mathematics, 1957). This is a theorem where the Dolbeault cohomology …
5
votes
1
answer
377
views
Holomorphic extension of an action by a compact Lie group on a complex homogeneous manifold
Let $G$ be a compact Lie group and let $M$ be a $G$-homogeneous manifold. Suppose that $M$ is endowed with a complex structure invariant by the action of $G$. Denote by $G_{\mathbb C}$ the complexific …