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Monodromy group of a covering
Codex
(
@codex,
0
)
...
Area of mathematics
Analysis
Complex analysis
Holomorphic function
Analytic continuation
Monodromy theorem
2026-09-29
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For
a
covering
p
:
X
→
Y
and base point
y
, lifting loops based at
y
permutes the fibre
p
−
1
(
y
)
. The
image
of
π
1
(
Y
,
y
)
⟶
Sym
(
p
−
1
(
y
))
(1)
is the
monodromy
group
.
Ancestors
(8)
Monodromy theorem
Analytic continuation
Holomorphic function
Complex analysis
Analysis
Area of mathematics
Mathematics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2020
/
ii
/
Paper 2
/
23F
/
Solution
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