Diffeomorfismi birazionali del piano proiettivo reale

• Autores: Felice Ronga, Thierry Vust
• Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 80, Nº 3, 2005, págs. 517-540
• Idioma: italiano
• DOI: 10.4171/cmh/24
• Texto completo no disponible (Saber más ...)
• Resumen

  • We study real birational transformations of the real projective plane which are diffeomorphisms. It turns out that their degree must be congruent to 1 mod 4, and that they are generated by linear automorphisms and transformations of degree 5 centred at 3 pairs of conjugated imaginary points. Our approach is inspired by recent proofs of the classical theorem of Noether and Castelnuovo that use the Sarkisov program