Naeem Stanton

2022-02-16

I know that all meromorphic functions on $\mathbb{C}P{P}^{1}$ are rational functions. However, Im

Pooja Copeland

Beginner2022-02-17Added 8 answers

Note that

$\mathbb{C}=\{[z:1]\mid z\in \mathbb{C}\}\subseteq \mathbb{C}P{P}^{1}$

Hence you can identify$F}_{A$ with a rational function $f}_{A$ given by

${f}_{A}\left(z\right)={F}_{A}\left([z:1]\right)$

Then

$F}_{A}\left(z\right)=\frac{az+b}{cz+d$ .

Hence you can identify

Then