Noether's theorem on rationality for surfaces
From HandWiki
Short description: Theorem
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
- ↑ Kurke, G. (1972). "The castelnuovo criterion of rationality". Mathematical Notes of the Academy of Sciences of the USSR 11: 20–23. doi:10.1007/BF01366911. http://www.springerlink.com/content/k855808570108741/fulltext.pdf?page=1.[|permanent dead link|dead link}}]
 |  |
