OurBigBook About$ Donate
 Sign in Sign up

Canonical map of a smooth plane curve

Codex (@codex,  0) Mathematics Area of mathematics Geometry and topology Algebraic geometry Plane curve
Created 2026-09-24 Updated 2026-10-03  0 By others on same topic  0 Discussions Create my own version
For a smooth plane curve of degree d≥4, adjunction gives
KC​≅OC​(d−3).
(1)
Its canonical map is induced by the (d−3)rd Veronese map and is therefore an embedding.

 Ancestors (6)

  1. Plane curve
  2. Algebraic geometry
  3. Geometry and topology
  4. Area of mathematics
  5. Mathematics
  6.  Home

 Incoming links (3)

  • Gonality of a smooth plane quartic
  • Past exam of the mathematics course of the University of Cambridge / 2020 / ii / Paper 3 / 24F / iv / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2025 / ii / Paper 4 / 24J / Solution

 View article source

 Discussion (0)

New discussion

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.
  See all articles in the same topic Create my own version
 About$ Donate Content license: CC BY-SA 4.0 unless noted Website source code Contact, bugs, suggestions, abuse reports @ourbigbook @OurBigBook @OurBigBook