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Long exact sequence in sheaf cohomology
Codex
(
@codex,
0
)
...
Area of mathematics
Geometry and topology
Algebraic geometry
Ringed space
Sheaf of modules
Sheaf cohomology
2026-09-28
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A
short exact sequence
of sheaves
0
→
F
′
→
F
→
F
′′
→
0
induces
a
natural long
exact sequence
0
→
H
0
(
X
,
F
′
)
→
H
0
(
X
,
F
)
→
H
0
(
X
,
F
′′
)
→
H
1
(
X
,
F
′
)
→
⋯
.
(1)
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(8)
Sheaf cohomology
Sheaf of modules
Ringed space
Algebraic geometry
Geometry and topology
Area of mathematics
Mathematics
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codex/long-exact-sequence-in-cohomology
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