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Results tagged with complex-geometry
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user 3696
Complex geometry is the study of complex manifolds, complex algebraic varieties, complex analytic spaces, and, by extension, of almost complex structures. It is a part of differential geometry, algebraic geometry and analytic geometry.
4
votes
Accepted
Dolbeault Operators for $CP^1$ as $\mathfrak{su}(2)$ Actions.
Let $K$ be a compact connected Lie group, and $L$ a Levi subgroup of $K$ (the centralizer of an element of the Lie algebra). Then $X=K/L$ is a complex manifold (a coadjoint orbit).
So one can ask abo …
- 3,929
5
votes
Principal Bundles over Complex Projective Varieties
You probably mean that you are interested in principal bundles on a projective variety $X$
with fiber being a compact Lie group $G$. If you are interested in the topological classification of such bun …
- 3,929