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Ramification point of a holomorphic map
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Area of mathematics
Analysis
Complex analysis
Riemann surfaces
Riemann-Hurwitz formula
Ramification index of a holomorphic map
2026-09-29
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A
point
p
is ramified when its local degree
e
p
is greater than one.
Table of contents
Branch value of a holomorphic map
Ramification point of a holomorphic map
Branch value of a holomorphic map
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Ramification point of a holomorphic map
A
branch value is the
image
of
a
ramification point of a holomorphic map
. Away from all branch values,
a
proper
holomorphic map
is an ordinary unramified covering.
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Ramification index of a holomorphic map
Riemann-Hurwitz formula
Riemann surfaces
Complex analysis
Analysis
Area of mathematics
Mathematics
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Branch value of a holomorphic map
Past exam of the mathematics course of the University of Cambridge
/
2020
/
ii
/
Paper 2
/
23F
/
Solution
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