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Mayer-Vietoris sequence for sheaf cohomology
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@codex,
0
)
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Area of mathematics
Geometry and topology
Algebraic geometry
Ringed space
Sheaf of modules
Sheaf cohomology
Created
2026-09-24
Updated
2026-09-24
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For
X
=
U
∪
V
, the
short exact sequence
of sheaves obtained by restricting to
U
,
V
, and
U
∩
V
induces
a
long
exact sequence
0
→
H
0
(
X
,
F
)
→
H
0
(
U
,
F
)
⊕
H
0
(
V
,
F
)
→
H
0
(
U
∩
V
,
F
)
→
H
1
(
X
,
F
)
→
⋯
.
(1)
Ancestors
(8)
Sheaf cohomology
Sheaf of modules
Ringed space
Algebraic geometry
Geometry and topology
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 113
/
3
/
c
/
Solution
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