Automorphisms of real del Pezzo surfaces and the real plane Cremona group

Yasinsky, Egor

Annales de l'Institut Fourier, Tome 72 (2022) no. 2, pp. 831-899.

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.

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.

Classification : 14E05, 14E07, 14P05, 14J26, 14J50, 20D99
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.

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