Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

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...

share|cite|improve this question

You can find it in Fulton's wonderful book - algebraic curves, available online here: page 61 (page 69 in the above file).

share|cite|improve this answer
Thank you, but I was hoping for a non-geometric proof purely in terms of polynomial manipulations / commutative algebra. I'll have a look anyway, but I'll have to familiarise myself with the notation and the geometry... – Zhen Lin Feb 6 '11 at 10:24

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.