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词条 Max Noether's theorem
释义

  1. Notes

  2. See also

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 P3, 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

1. ^{{Springer|title =Cremona group|id=c/c027040}}

See also

  • Noether inequality
  • Special divisor
  • Hirzebruch–Riemann–Roch theorem
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