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.
Kowalevski, ¨Uber Reduction einer bestimmten Klasse Abel’scher Integra le 3ten Ranges auf elliptische Integrale , Acta Mathematica 4 (1884), 393–416
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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.