Noether's theorem on rationality for surfaces [SEP] named after
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.
See also.
- Hirzebruch surface
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List of things named after Emmy Noether
Emmy Noether was a German mathematician who flourished in the 20th century. This article is dedicated to the things named after her achievements.
Mathematics.
- Noether's bound
- Noether normalization lemma
- Noether problem
- Noether's theorem
- Noether's second theorem
- Albert–Brauer–Hasse–Noether theorem
- Lasker–Noether theorem
- Skolem–Noether theorem
- Noether identities
Mathematics "Noetherian".
- Noetherian
- Noetherian group
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