Théorème de Noether sur la rationalité des surfaces

Théorème de Noether sur la rationalité des surfaces En mathématiques, 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 Hirzebruch surface List of complex and algebraic surfaces References Castelnuovo’s Theorem Notes ^ Kurke, g. (1972). "The castelnuovo criterion of rationality" (PDF). Mathematical Notes of the Academy of Sciences of the USSR. 11: 20–23. est ce que je:10.1007/BF01366911.[lien mort] This algebraic geometry–related article is a stub. Vous pouvez aider Wikipédia en l'agrandissant.

Catégories: Algebraic surfacesTheorems in algebraic geometryAlgebraic geometry stubs