You are right, sorry for the misuse. I thought that seeing it as vector space with basis ##\{ \partial_{z},\partial_{\bar{z}} \}## would mean the same. But let us forget about that. What I am saying is precisely what you wrote:
I am referring to an ordered pair of the form ##(a+bi,a-bi)##
Hello,
I would like your help understanding how to map a region of the space \mathbb{C}^2 spanned by two complex conjugate variables to the real plane \mathbb{R}^2 .
Specifically, let us think that we have two complex conugate variables z and \bar{ z} and we define a triangle in the...