Tagged Questions
1
vote
1answer
30 views
What does $T_z\mathbb{R}^2\otimes\mathbb{C}$ in p. 2 of Huybrechts' book mean?
I apologize for my lack of imagination and the likely silliness of this question, but what does $T_z\mathbb{R}^2\otimes\mathbb{C}$ mean here (last paragraph)?
And how does that extension work?
Thank ...
2
votes
2answers
48 views
Biholomorphism between an open set and $\mathbb C^n$
If $U$ is a polydisc in $\mathbb C^n$, that is, $U=\{z \in \mathbb C^n:|z_i|<1\}$, can we find a biholomorphic map from $U$ to $\mathbb C^n$?
2
votes
1answer
32 views
Biholomorphisms of the polydisk
Let $\mathbb{D}$ denote the unit disk in the complex plane, equipped with the Poincare metric.
Let us denote the group of biholomorphisms of $\mathbb{D}$ by $Aut(\mathbb{D})$.
Suppose $F: ...
2
votes
1answer
123 views
$n$-sheeted branched covering
Michael Artin's algebra
let $f(x,y)$ be an irreducible polynomial in $\mathbb{C}[x,y]$ which has degree $ n>0$ in the variable $y$. The Riemann surface of $f(x,y)$ is an $n$-sheeted branched ...
2
votes
1answer
72 views
Connected Reinhardt Domain which is not complete
Can i have an example of connected Reinhardt domain in $C^n$ which contains zero. But it is not complete.
Complete means: For $w= (w_1,..w_n)\in D$, if $z$ is such that $|z_j|\leq |w_j$ for all $j$ ...
