Julia Schneider ; Susanna Zimmermann - Algebraic subgroups of the plane Cremona group over a perfect field

epiga:6715 - Épijournal de Géométrie Algébrique, November 16, 2021, Volume 5 - https://doi.org/10.46298/epiga.2021.6715
Algebraic subgroups of the plane Cremona group over a perfect fieldArticle

Authors: Julia Schneider ORCID; 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

https://doi.org/10.46298/epiga.2021.6715
Source: arXiv.org:2008.03688
Volume: Volume 5
Published on: November 16, 2021
Accepted on: November 16, 2021
Submitted on: August 14, 2020
Keywords: Mathematics - Algebraic Geometry, 14E07, 14J50, 14L99, 20G40
Licence: Attribution-Non Commercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
Funding:
    Source : OpenAIRE Graph
  • 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

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