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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| Format: | Article |
| Language: | English |
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Académie des sciences
2024-03-01
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| Series: | Comptes Rendus. Mathématique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.540/ |
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| author | Bot, Anna |
| author_facet | Bot, Anna |
| author_sort | Bot, Anna |
| collection | DOAJ |
| description | We show that the ordinal of the dynamical degrees of all birational maps of the complex projective plane is $\omega ^{\omega }$. |
| format | Article |
| id | doaj-art-5c21ae16591c455587b98e553e806283 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-5c21ae16591c455587b98e553e8062832025-02-07T11:16:25ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-03-01362G211713410.5802/crmath.54010.5802/crmath.540The ordinal of dynamical degrees of birational maps of the projective planeBot, Anna0Department of Mathematics and Computer Science, University of Basel, 4051 Basel, SwitzerlandWe show that the ordinal of the dynamical degrees of all birational maps of the complex projective plane is $\omega ^{\omega }$.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.540/Dynamical degreerational projective surfacesordinals |
| spellingShingle | Bot, Anna The ordinal of dynamical degrees of birational maps of the projective plane Comptes Rendus. Mathématique Dynamical degree rational projective surfaces ordinals |
| title | The ordinal of dynamical degrees of birational maps of the projective plane |
| title_full | The ordinal of dynamical degrees of birational maps of the projective plane |
| title_fullStr | The ordinal of dynamical degrees of birational maps of the projective plane |
| title_full_unstemmed | The ordinal of dynamical degrees of birational maps of the projective plane |
| title_short | The ordinal of dynamical degrees of birational maps of the projective plane |
| title_sort | ordinal of dynamical degrees of birational maps of the projective plane |
| topic | Dynamical degree rational projective surfaces ordinals |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.540/ |
| work_keys_str_mv | AT botanna theordinalofdynamicaldegreesofbirationalmapsoftheprojectiveplane AT botanna ordinalofdynamicaldegreesofbirationalmapsoftheprojectiveplane |