Search Results
Search type | Search syntax |
---|---|
Tags | [tag] |
Exact | "words here" |
Author |
user:1234 user:me (yours) |
Score |
score:3 (3+) score:0 (none) |
Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
Views | views:250 |
Code | code:"if (foo != bar)" |
Sections |
title:apples body:"apples oranges" |
URL | url:"*.example.com" |
Saves | in:saves |
Status |
closed:yes duplicate:no migrated:no wiki:no |
Types |
is:question is:answer |
Exclude |
-[tag] -apples |
For more details on advanced search visit our help page |
Complex analysis, holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves.
10
votes
Accepted
Proper holomorphic map from unit disk to punctured unit disk
I don't think so. A map $\mathbb D \to \mathbb D^\ast$ would lift to a map $\mathbb D\to \mathbb H$, where the upper halfplane $\mathbb H$ is seen as the universal cover of $\mathbb D^\ast$. As $\math …
14
votes
Accepted
Complex manifolds where bounded holomorphic functions are constant
We have that there are no non-constant bounded functions on $\mathbb C^*=\mathbb
C\setminus\{0\}$. The easiest way to see that is to notice that such a function
has a removable singularity at the orig …
9
votes
Square of an elliptic curve and projective plane
What we have here is a special case of the following (well-known) construction:
Starting with a smooth and proper curve $C$ we may consider its symmetric power
$S^nC=C^n/\Sigma_n$. It (because we are …
8
votes
Holomorphic vector fields acting on Dolbeault cohomology
These are comments on Dmitri's answer.
I don't think the surface example can work as all holomorphic forms on a compact
surface are closed (a result due to Kodaira I believe). The Cartan formula $L_v …