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Results tagged with cv.complex-variables
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user 130742
Complex analysis, holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves.
11
votes
1
answer
846
views
Is every surjective holomorphic self-map on a compact complex manifold finite-to-one?
I have already asked this question on stack exchange, but I didn’t get any answer.
Let $X$ be a compact connected complex manifold.
Let $f:X \to X$ be a surjective holomorphic map. Is it true that $f …
- 337
6
votes
Embedding open connected Riemann surfaces in $\mathbb{C}^2$
One of the first example of proper embedding of open Riemann surface is,
Proper embedding of open unit disk in $\mathbb C^2$ which is one of corollary of Fatou-Bieberbach domains (holomorphic dynamic …
- 337
2
votes
1
answer
110
views
Intersection of superlevel set of polynomials
Let $P_1$ and $P_2$ be complex polynomials with complex coefficients and $c > 0$. Can we find polynomial $P_3$ and $c’>0$ such that
$\{z \in \mathbb C : |P_1(z)| \geq c\} \cap \{ z \in \mathbb C : …
- 337