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Results tagged with several-complex-variables
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user 7460
11
votes
Any non-constant surjective holomorphic map between connected compact complex manifolds of e...
The correct statement is the following:
Proposition. Let $X$, $Y$ be irreducible complex spaces. Then every holomorphic, finite surjection $\pi \colon X \longrightarrow Y$ is an analytic (in gener …
- 66.3k
3
votes
Subset of a complex manifold whose intersection with every holomorphic curve is analytic
I think that the answer is no.
Take a complex torus $X$ without any holomorphic curve. If the result you are asking for were true, it would imply (in the empty sense) that every subset $A \subset X$ i …
- 66.3k
20
votes
Accepted
Classification of complex structures on $\mathbb{R}^{2n}$
There exist infinitely many inequivalent complex structures in $\mathbb{R}^{2n}$ for all $n \geq 2$.
See for instance the paper
K. Diederich, N. Sibony: Strange complex structures on Euclidean spac …
- 66.3k