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In algebraic geometry, the Enriques–Babbage theorem states that a canonical curve is either a set-theoretic intersection of quadrics, or trigonal, or a plane quintic. It was proved by Babbage (1939) and Enriques (1919).

References

Babbage, D. W. (1939), "A Note on the Quadrics Through a Canonical Curve", J. London Math. Soc.: 310–315, doi:10.1112/jlms/s1-14.4.310