Noether's theorem on rationality for surfaces
In mathematics, Noether's theorem on rationality for surfaces is a classical result of Max Noether on complex algebraic surfaces, giving a criterion for a rational surface. Let S be an algebraic surface that is non-singular and projective. Suppose there is a morphism φ from S to the projective line, with general fibre also a projective line. Then the theorem states that S is rational.[1]
See also
References
Notes
This article is issued from Wikipedia - version of the Monday, May 05, 2014. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.