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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2508.12639 |
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| _version_ | 1866911109700648960 |
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| author | Kim, Young Kyun |
| author_facet | Kim, Young Kyun |
| contents | We prove that for a dynamical system on an algebraic variety over $\overline{\mathbb{Q}}$ generated by finitely many unramified endomorphisms, it is decidable whether a given point has a finite orbit. This is achieved by establishing an effective upper bound for the size of finite orbits in integral algebraic dynamical systems with unramified morphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12639 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Upper Bounds on the Sizes of Finite Orbits for Unramified Morphisms Kim, Young Kyun Dynamical Systems Algebraic Geometry Number Theory 37P55 We prove that for a dynamical system on an algebraic variety over $\overline{\mathbb{Q}}$ generated by finitely many unramified endomorphisms, it is decidable whether a given point has a finite orbit. This is achieved by establishing an effective upper bound for the size of finite orbits in integral algebraic dynamical systems with unramified morphisms. |
| title | Upper Bounds on the Sizes of Finite Orbits for Unramified Morphisms |
| topic | Dynamical Systems Algebraic Geometry Number Theory 37P55 |
| url | https://arxiv.org/abs/2508.12639 |