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arXiv · 2008.03688

Algebraic subgroups of the plane Cremona group over a perfect field

Julia Schneider·Susanna Zimmermann
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Abstract

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.

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Julia Schneider, Susanna Zimmermann. 2020-08-09. Algebraic subgroups of the plane Cremona group over a perfect field. https://doi.org/10.46298/epiga.2021.6715

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