We study automorphism groups of real del Pezzo surfaces, concentrating on finite groups acting with invariant Picard number equal to one. As a result, we obtain a vast part of classification of finite subgroups in the real plane Cremona group.
On étudie les groupes d’automorphismes des surfaces de del Pezzo réelles, en se concentrant sur les groupes finis qui agissent avec un nombre invariant de Picard égal à 1. En conséquence, on obtient une bonne part de la classification des sous-groupes finis du groupe de Cremona du plan réel.
Revised:
Accepted:
Published online:
DOI: 10.5802/aif.3460
Keywords: Cremona group, conic bundle, del Pezzo surface, automorphism group, real algebraic surface.
Mot clés : Groupe de Cremona, fibré conique, surface de del Pezzo, surface algébrique réelle.
Yasinsky, Egor 1
@article{AIF_2022__72_2_831_0, author = {Yasinsky, Egor}, title = {Automorphisms of real del {Pezzo} surfaces and the real plane {Cremona} group}, journal = {Annales de l'Institut Fourier}, pages = {831--899}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {72}, number = {2}, year = {2022}, doi = {10.5802/aif.3460}, zbl = {07554670}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.3460/} }
TY - JOUR AU - Yasinsky, Egor TI - Automorphisms of real del Pezzo surfaces and the real plane Cremona group JO - Annales de l'Institut Fourier PY - 2022 SP - 831 EP - 899 VL - 72 IS - 2 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.3460/ DO - 10.5802/aif.3460 LA - en ID - AIF_2022__72_2_831_0 ER -
%0 Journal Article %A Yasinsky, Egor %T Automorphisms of real del Pezzo surfaces and the real plane Cremona group %J Annales de l'Institut Fourier %D 2022 %P 831-899 %V 72 %N 2 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.3460/ %R 10.5802/aif.3460 %G en %F AIF_2022__72_2_831_0
Yasinsky, Egor. Automorphisms of real del Pezzo surfaces and the real plane Cremona group. Annales de l'Institut Fourier, Volume 72 (2022) no. 2, pp. 831-899. doi : 10.5802/aif.3460. https://aif.centre-mersenne.org/articles/10.5802/aif.3460/
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