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Words: 376
Articles: 8
For a nonconstant analytic map
f
:
R
→
S
between compact connected Riemann surfaces, there is an integer
de
g
f
such that for every
w
∈
S
,
∑
z
∈
f
−
1
(
w
)
m
f
(
z
)
=
de
g
f
.
(91)
Table of contents
376
8
Local degree of a holomorphic map
Valency theorem
24
Degree of a holomorphic map
Valency theorem
29
Degree of a rational map of the Riemann sphere
Valency theorem
108
1
Degree of the derivative of a rational function
Degree of a rational map of the Riemann sphere
72
Degree of an elliptic function
Valency theorem
76
1
Degree of the derivative of an elliptic function
Degree of an elliptic function
38
Octahedral rotation orbits on the Riemann sphere
Valency theorem
33
Degree-sized invariant separates finite-group orbits
Valency theorem
78
Ancestors
(6)
Riemann surfaces
Complex analysis
Analysis
Area of mathematics
Mathematics
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(3)
Degree of a holomorphic map
Solution
Solution
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