Birational involutions of the real projective plane
In: https://hal.science/hal-03756970 ; 2022, 2022
report
Zugriff:
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.
Titel: |
Birational involutions of the real projective plane
|
---|---|
Autor/in / Beteiligte Person: | Cheltsov, Ivan ; Mangolte, Frédéric ; Yasinsky, Egor ; Zimmermann, Susanna ; School of Mathematics - University of Edinburgh ; University of Edinburgh (Edin.) ; Institut de Mathématiques de Marseille (I2M) ; Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS) ; Centre de Mathématiques Laurent Schwartz (CMLS) ; École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS) ; Laboratoire Angevin de Recherche en Mathématiques (LAREMA) ; Université d'Angers (UA)-Centre National de la Recherche Scientifique (CNRS) |
Link: | |
Zeitschrift: | https://hal.science/hal-03756970 ; 2022, 2022 |
Veröffentlichung: | HAL CCSD, 2022 |
Medientyp: | report |
Schlagwort: |
|
Sonstiges: |
|