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Results tagged with complex-geometry
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user 121777
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.
5
votes
1
answer
528
views
Are holomorphic vector bundles over Kähler manifolds Kähler
Let $X$ be a Kähler manifold and $E\to X$ a holomorphic vector bundle. Is there a Kähler structure on $E$ compatible with its complex structure?
- 81
3
votes
1
answer
129
views
Closure of orbit in complex manifold
Let $G$ be a complex algebraic group (reductive if necessary) acting holomorphically on a complex manifold $X$. Does the closure of every $G$-orbit contain a closed orbit?
If $X$ is a complex algebra …
- 81