FINITELY GENERATED SUBGROUPS OF ALGEBRAIC ELEMENTS OF PLANE CREMONA GROUPS ARE BOUNDED - ANR - Agence nationale de la recherche Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2023

FINITELY GENERATED SUBGROUPS OF ALGEBRAIC ELEMENTS OF PLANE CREMONA GROUPS ARE BOUNDED

Résumé

We prove that any finitely generated subgroup of the plane Cremona group consisting only of algebraic elements is of bounded degree. This follows from a more general result on 'decent' actions on infinite restricted products. We apply our results to describe the degree growth of finitely generated subgroups of the plane Cremona group.
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Dates et versions

hal-04187520 , version 1 (24-08-2023)

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Anne Lonjou, Piotr Przytycki, Christian Urech. FINITELY GENERATED SUBGROUPS OF ALGEBRAIC ELEMENTS OF PLANE CREMONA GROUPS ARE BOUNDED. 2023. ⟨hal-04187520⟩

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