Diffeomorfismi birazionali del piano proiettivo reale | Zendy

Felice Ronga | Zendy; Thierry Vust | Zendy

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Diffeomorfismi birazionali del piano proiettivo reale

Author(s) -

Felice Ronga,

Thierry Vust

Publication year - 2005

Publication title -

commentarii mathematici helvetici

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.603

H-Index - 46

eISSN - 1420-8946

pISSN - 0010-2571

DOI - 10.4171/cmh/24

Subject(s) - mathematics , automorphism , degree (music) , projective plane , noether's theorem , mathematical proof , pure mathematics , algebra over a field , discrete mathematics , geometry , lagrangian , physics , acoustics , correlation

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

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