Birational involutions of the real projective plane fall into 12 conjugacy classes, twice the number over the complex numbers, with examples where the fixed curve fails to determine the class.
Russo, The antibirational involutions of the plane and the classifi cation of real del Pezzo surfaces, in Algebraic geometry, de Gruyter, Berlin, 2002, pp
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Birational involutions of the real projective plane
Birational involutions of the real projective plane fall into 12 conjugacy classes, twice the number over the complex numbers, with examples where the fixed curve fails to determine the class.