How to show that any biholomorphism between $\mathbb C$ and itself is linear?
10350
Automorphisms of the complex plane
100107
How can I prove that a linear map $T:V\to V$ such that $T^2 = I$ is equal to the Identity map?
111814
Precise connection between complexification of $\mathfrak{su}(2)$, $\mathfrak{so}(1,3)$ and $\mathfrak{sl}(2, \mathbb{C})$
102084
How to show path-connectedness of $GL(n,\mathbb{C})$
93121
How to prove there exists a linear transformation?
6227
Showing diffeomorphism between $S^1 \subset \mathbb{R}^2$ and $\mathbb{RP}^1$
46396
When can we find holomorphic bijections between annuli?
61616
category of linear maps
145104
$T:$ $\mathbb{C}$ $\to$ $\mathbb{C}$ by $T(z)=\lambda z + \mu \bar{z}$ for every $z \in \mathbb{C}$
105666
What's an easy way to show that $GL(n,\mathbb C)$ is connected?
137011
showing $\psi: R\to \mathbb C$ is ring isomorphism.
82458
Homeomorphism between the unit disc and the unit square
61013
Diffeomorphism between the Grassmannian manifolds $\mathbf{Gr}(n,k)$ and $\mathbf{Gr}(n,n-k)$.
44685
Inner product on $C(\mathbb R)$
84189
Is $\mathbb{C}$ equal to $\mathbb{R}^2$?
69694
Classify orbits of conjugating action on $GL_2(\mathbb{C})$
108156
Algebraic closure of $\mathbb{C}(x)$ is isomorphic to $\mathbb{C}$