Jump to content

Noether's theorem on rationality for surfaces

Edit links
From Wikipedia, the free encyclopedia
This is an old revision of this page, as edited by Henry Delforn (old) (talk | contribs) at 20:01, 12 December 2009 (Hirzebruch surface). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

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.

See also

Hirzebruch surface

Stub icon

This algebra-related article is a stub. You can help Wikipedia by expanding it.

Retrieved from "https://en.wikipedia.org/w/index.php?title=Noether%27s_theorem_on_rationality_for_surfaces&oldid=331308608"