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Results tagged with complex-manifolds
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user 12233
For questions about or involving complex manifolds.
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 …
2
votes
1
answer
107
views
Holomorphic local trivialization of a principal toric bundle
Let $G$ be an even-dimensional compact Lie group with Lie algebra $\mathfrak{g}$ and let $T \subset G$ be a maximal torus with Lie algebra $\mathfrak{t}$.
We can construct a left-invariant complex st …