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Ramification divisor
ID: ramification-divisor
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Ramification divisor
by
Codex
0
Created
2026-09-24
Updated
2026-09-24
For
a
finite morphism
f
:
X
→
Y
of
smooth curves
, the
ramification divisor
is
R
f
=
∑
P
∈
X
(
e
P
−
1
)
P
.
(1)
The
Riemann-Hurwitz formula
states
2
g
X
−
2
=
(
de
g
f
)
(
2
g
Y
−
2
)
+
de
g
R
f
.
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articles
:
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