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arXiv · 2004.11715

Finite subgroups of the birational automorphism group are 'almost' nilpotent of class at most two

Attila Guld
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Abstract

We call a group $G$ nilpotently Jordan of class at most $c$ $(c\in\mathbb{N})$ if there exists a constant $J\in\mathbb{Z}^+$ such that every finite subgroup $H\leqq G$ contains a nilpotent subgroup $K\leqq H$ of class at most $c$ and index at most $J$. We show that the birational automorphism group of a variety over a field of characteristic zero is nilpotently Jordan of class at most two.

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Attila Guld. 2020-04-22. Finite subgroups of the birational automorphism group are 'almost' nilpotent of class at most two. https://arxiv.org/abs/2004.11715

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