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S-unramified power class group
(
K
(
S
,
n
)
)
Codex
(
@codex,
0
)
...
Geometric genus
Genus one curve
Elliptic curve
Mordell-Weil group
Kummer map of an elliptic curve
Kummer pairing
Created
2026-09-24
Updated
2026-09-24
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For
a
number field
K
and
a
finite set
S
of finite primes,
K
(
S
,
n
)
=
{[
x
]
∈
K
∗
/
(
K
∗
)
n
:
v
p
(
x
)
≡
0
(
mod
n
)
for every
p
∈
/
S
}
.
(1)
Ancestors
(12)
Kummer pairing
Kummer map of an elliptic curve
Mordell-Weil group
Elliptic curve
Genus one curve
Geometric genus
Normalization of an algebraic curve
Algebraic geometry
Geometry and topology
Area of mathematics
Mathematics
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Incoming links
(1)
Past exam of the mathematics course of the University of Cambridge
/
2025
/
iii
/
Paper 125
/
4
/
c
/
Solution
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