Algebraic subgroups of the plane Cremona group over a perfect fieldArticle
Authors: Julia Schneider ; Susanna Zimmermann
0000-0002-2372-2220##NULL
Julia Schneider;Susanna Zimmermann
We show that any infinite algebraic subgroup of the plane Cremona group over
a perfect field is contained in a maximal algebraic subgroup of the plane
Cremona group. We classify the maximal groups, and their subgroups of rational
points, up to conjugacy by a birational map.
Relations in the Cremona group as puzzle pieces; Funder: Swiss National Science Foundation; Code: 200209
Fibrations and algebraic group actions; Funder: French National Research Agency (ANR); Code: ANR-18-CE40-0003
Bibliographic References
3 Documents citing this article
Alexandr Vladimirovich Zaitsev, 2023, Forms of del Pezzo surfaces of degree $5$ and $6$, arXiv (Cornell University), 214, 6, pp. 69-86, 10.4213/sm9686, https://arxiv.org/abs/2302.04937.
Ivan Arzhantsev;Mikhail Zaidenberg, 2022, Tits-type alternative for certain groups acting on algebraic surfaces, Proceedings of the American Mathematical Society, 151, 7, pp. 2813-2829, 10.1090/proc/16324, https://doi.org/10.1090/proc/16324.