Expert answers to "I know that all meromorphic functions on CPP1..." - Plainmath

Secondary
Algebra
Algebra II
Rational functions

Naeem Stanton

Answered question

2022-02-16

I know that all meromorphic functions on

C P P^{1}

are rational functions. However, Im

Answer & Explanation

Pooja Copeland

Beginner2022-02-17Added 8 answers

Note that

C = {[z : 1] ∣ z \in C} \subseteq C P P^{1}

Hence you can identify

F_{A}

with a rational function

f_{A}

given by

f_{A} (z) = F_{A} ([z : 1])

Then

F_{A} (z) = \frac{a z + b}{c z + d}

.

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