In
algebraic geometry, the Enriques–Babbage theorem states that a
canonical curve In mathematics, the canonical bundle of a non-singular algebraic variety V of dimension n over a field is the line bundle \,\!\Omega^n = \omega, which is the ''n''th exterior power of the cotangent bundle Ω on ''V''.
Over the complex numbers, ...
is either a set-theoretic intersection of quadrics, or trigonal, or a plane quintic. It was proved by and .
References
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Algebraic curves
Theorems in algebraic geometry
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