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Structure-sheaf sequence of a hypersurface
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Ringed space
Locally ringed space
Scheme
Morphism of schemes
Closed immersion
Closed subscheme
2026-09-28
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If
a
homogeneous polynomial
f
d
of degree
d
cuts out
a
projective hypersurface
i
:
X
↪
P
n
,
multiplication
by
f
d
gives the
short exact sequence
0
⟶
O
P
n
(
−
d
)
⋅
f
d
O
P
n
⟶
i
∗
O
X
⟶
0.
(1)
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Closed subscheme
Closed immersion
Morphism of schemes
Scheme
Locally ringed space
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
/
2022
/
iii
/
Paper 113
/
3
/
d
/
Solution
Smooth projective hypersurface has zero irregularity
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