# Max Noether's theorem

In mathematics, **Max Noether's theorem** in algebraic geometry may refer to at least six results of Max Noether. Noether's theorem usually refers to a result derived from work of his daughter Emmy Noether.

- There are several closely related results of Max Noether on canonical curves.
**Max Noether's residual intersection theorem**(*Fundamentalsatz*or*fundamental theorem*) is a result on algebraic curves in the projective plane, on the residual sets of intersections; see AF+BG theorem.**Max Noether theorem on curves**lying on algebraic surfaces, which are hypersurfaces in*P*^{3}, or more generally complete intersections.- There is Noether's theorem on rationality for surfaces.
- There is a
**Max Noether theorem**on the generation of the Cremona group by quadratic transformations.[1]

## Notes

- Hazewinkel, Michiel, ed. (2001) [1994], "Cremona group",
*Encyclopedia of Mathematics*, Springer Science+Business Media B.V. / Kluwer Academic Publishers, ISBN 978-1-55608-010-4

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