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Self-intersection of a smooth curve on a K3 surface
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Mathematics
Area of mathematics
Geometry and topology
Algebraic geometry
Algebraic surface
K3 surface
2026-09-28
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If
a
smooth curve
C
of
genus
g
lies on
a
K3 surface
, the
Adjunction formula
and
K
X
=
0
give
C
2
=
2
g
−
2.
(1)
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K3 surface
Algebraic surface
Algebraic geometry
Geometry and topology
Area of mathematics
Mathematics
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