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Results tagged with complex-manifolds
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user 158773
For questions about or involving complex manifolds.
5
votes
1
answer
249
views
Koszul-Malgrange Holomorphic structure on a pullback bundle
I'm finding myself a little confused about Koszul-Malgrange holomorphic structures in a certain context.
Suppose $M$ is a complex manifold, $N$ is a smooth manifold with a smooth complex vector bundle …
- 163
1
vote
Accepted
Koszul-Malgrange Holomorphic structure on a pullback bundle
Okay I thought about it a bit more, and here is what I can say in general. We can find a neighbourhood $U\subset N$ such that $V|_U$ splits diffeomorphically as $U\times \mathbb{C}^n$ and the section …
- 163
4
votes
0
answers
220
views
Real part of a holomorphic section of a vector bundle
Let $F\to M$ be a holomorphic vector bundle over a complex manifold $M$ and let $s:M\to F$ be a no-zero section. Let $E$ be the complexification of $F$, and suppose that $E$ admits a holomorphic struc …
- 163