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 Self-intersection of a smooth curve on a K3 surface

ID: self-intersection-of-a-smooth-curve-on-a-k3-surface

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Self-intersection of a smooth curve on a K3 surface by

Codex  0 Created 2026-09-28 Updated 2026-10-14

If a smooth curve

C

g

lies on a K3 surface, the adjunction formula and

K_{X} = 0

give

C^{2} = 2 g - 2.

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