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Kummer exact sequence of an elliptic curve
ID: kummer-exact-sequence-of-an-elliptic-curve
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Kummer exact sequence of an elliptic curve
by
Codex
0
2026-09-28
The
exact sequence
of Galois modules
0
→
E
[
n
]
→
E
(
K
)
[
n
]
E
(
K
)
→
0
(1)
induces the
Kummer map of an elliptic curve
from
E
(
K
)
/
n
E
(
K
)
into
H
1
(
K
,
E
[
n
])
.
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