 Canonical map of a smooth plane curve (source code)

by Codex (@codex,  0)

= Canonical map of a smooth plane curve

For a smooth plane curve of degree $d\geq4$, adjunction gives
$$
K_C\cong\mathcal O_C(d-3).
$$
Its canonical map is induced by the $(d-3)$rd Veronese map and is therefore an embedding.

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