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Pré-Publication, Document De Travail Année : 2022

Birational involutions of the real projective plane

Résumé

We classify birational involutions of the real projective plane up to conjugation. In contrast with an analogous classification over the complex numbers (due to E. Bertini, G. Castelnuovo, F. Enriques, L. Bayle and A. Beauville), which includes 4 different classes of involutions, we discover 12 different classes over the reals, and provide many examples when the fixed curve of an involution does not determine its conjugacy class in the real plane Cremona group.

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hal-03756970 , version 1 (22-08-2022)

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Ivan Cheltsov, Frédéric Mangolte, Egor Yasinsky, Susanna Zimmermann. Birational involutions of the real projective plane. 2022. ⟨hal-03756970⟩
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