In algebraic geometry, Max Noether's theorem may refer to the results of
Max Noether
Max Noether (24 September 1844 – 13 December 1921) was a German mathematician who worked on algebraic geometry and the theory of algebraic functions. He has been called "one of the finest mathematicians of the nineteenth century". He was the ...
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* Several closely related results of Max Noether on
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 nth exterior power of the cotangent bundle \Omega on V.
Over the complex numbers, it is ...
s
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AF+BG theorem
AF, af, Af, etc. may refer to:
Arts and entertainment
*A-F Records, Pittsburgh, Pennsylvania
*''Almost Family'', US TV series
Businesses and organizations European
* ÅF, a Swedish technical consulting company
* AF Gruppen, a construction company ...
, or Max Noether's fundamental theorem, a result on algebraic curves in the projective plane, on the residual sets of intersections
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Max Noether's theorem on curves lying on algebraic surfaces, which are hypersurfaces in ''P''
3, or more generally complete intersections
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Noether's theorem on rationality for surfaces
* Max Noether theorem on the generation of the
Cremona group In birational geometry, the Cremona group, named after Luigi Cremona, is Birational geometry#Birational automorphism groups, the group of birational automorphisms of the n-dimensional projective space over a Field (mathematics), field , also known a ...
by quadratic transformations
See also
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Noether's theorem
Noether's theorem states that every continuous symmetry of the action of a physical system with conservative forces has a corresponding conservation law. This is the first of two theorems (see Noether's second theorem) published by the mat ...
, usually referring to a result derived from work of Max's daughter Emmy Noether
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Noether inequality
In mathematics, the Noether inequality, named after Max Noether, is a property of compact minimal complex surfaces that restricts the topological type of the underlying topological 4-manifold. It holds more generally for minimal projective surfaces ...
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Special divisor
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Hirzebruch–Riemann–Roch theorem
In mathematics, the Hirzebruch–Riemann–Roch theorem, named after Friedrich Hirzebruch, Bernhard Riemann, and Gustav Roch, is Hirzebruch's 1954 result generalizing the classical Riemann–Roch theorem on Riemann surfaces to all complex algeb ...
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