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 field

Authors: 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.


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


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