Wikipedia tells me about Max Noether's $AF + BG$ theorem but only gives one reference and one external link. I've had a look at the MathWorld link but it seems to be an entirely geometric formulation which I'm not even sure is the same theorem. Does anyone know where I can find an algebraic statement of the theorem, together with a proof? I've tried searching online but the name of the theorem is somewhat unfortunate...
Max Noether's $AF + BG$ theorem
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algebraic-geometry
reference-request
commutative-algebra