The ordinal of dynamical degrees of birational maps of the projective plane

We show that the ordinal of the dynamical degrees of all birational maps of the complex projective plane is $\omega ^{\omega }$.

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Bibliographic Details
Main Author: Bot, Anna
Format: Article
Language:English
Published: Académie des sciences 2024-03-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.540/
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Summary:We show that the ordinal of the dynamical degrees of all birational maps of the complex projective plane is $\omega ^{\omega }$.
ISSN:1778-3569