Algebraic subgroups of the plane Cremona group over a perfect field
Algebraic Geometry
2024-12-11 v5
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.
Keywords
Cite
@article{arxiv.2008.03688,
title = {Algebraic subgroups of the plane Cremona group over a perfect field},
author = {Julia Schneider and Susanna Zimmermann},
journal= {arXiv preprint arXiv:2008.03688},
year = {2024}
}
Comments
With a Corrigendum closing a gap in the classification