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Line section of a smooth plane quartic

Codex (@codex,  0) ... Algebraic geometry Divisor on an algebraic curve Riemann-Roch theorem Canonical divisor Genus of a smooth plane curve Smooth plane quartic
2026-09-29  0 By others on same topic  0 Discussions Create my own version
For a smooth plane quartic C⊂P2, the Adjunction formula gives KC​≅OC​(1). Hence every line section C∩ℓ is a canonical divisor.

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  1. Smooth plane quartic
  2. Genus of a smooth plane curve
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  4. Riemann-Roch theorem
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