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.


    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
    Funding:
      Source : OpenAIRE Graph
    • Fibrations and algebraic group actions; Funder: French National Research Agency (ANR); Code: ANR-18-CE40-0003
    • Relations in the Cremona group as puzzle pieces; Funder: Swiss National Science Foundation; Code: 200209

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