Birational involutions of the real projective plane
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 four 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.
Authors
- Susanna Zimmermann (ORCID: https://orcid.org/0000-0002-2216-7712)
- Egor Yasinsky (ORCID: https://orcid.org/0000-0002-7550-2289)
- Ivan Cheltsov (ORCID: https://orcid.org/0000-0002-6820-8073)
- Frédéric Mangolte (ORCID: https://orcid.org/0000-0002-5651-2801)
Institutions
- Université de Bordeaux (FR)
- Aix-Marseille Université (FR)
- Université Paris-Saclay (FR)
- University of Edinburgh (GB)
Publication Details
- Journal
- Journal of the European Mathematical Society
- Published
- 2024-09-20
- DOI
- https://doi.org/10.4171/jems/1537
- Primary Topic
- Finite Group Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00