Algebraic subgroups of the plane Cremona group over a perfect fieldArticleAuteurs : 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.
Comment: With a Corrigendum closing a gap in the classification
Volume : Volume 5
Publié le : 16 novembre 2021
Accepté le : 16 novembre 2021
Soumis le : 14 août 2020
Mots-clés : Mathematics - Algebraic Geometry, 14E07, 14J50, 14L99, 20G40
Financement :
Source : OpenAIRE Graph- Fibrations and algebraic group actions; Financeur: French National Research Agency (ANR); Code: ANR-18-CE40-0003
- Relations in the Cremona group as puzzle pieces; Financeur: Swiss National Science Foundation; Code: 200209