Arithmetic Degrees are Cohomological Lyapunov Multipliers
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908462379696128 |
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| author | Song, Jiarui Xie, Junyi Yang, She |
| author_facet | Song, Jiarui Xie, Junyi Yang, She |
| contents | For endomorphisms of projective varieties, we prove that the arithmetic degree of a point with Zariski dense orbit must be a cohomological Lyapunov multiplier of the dynamical system. We will apply our result to deduce a corollary towards the dynamical Mordell--Lang conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_17643 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Arithmetic Degrees are Cohomological Lyapunov Multipliers Song, Jiarui Xie, Junyi Yang, She Dynamical Systems Algebraic Geometry Number Theory 37P05, 37P30 For endomorphisms of projective varieties, we prove that the arithmetic degree of a point with Zariski dense orbit must be a cohomological Lyapunov multiplier of the dynamical system. We will apply our result to deduce a corollary towards the dynamical Mordell--Lang conjecture. |
| title | Arithmetic Degrees are Cohomological Lyapunov Multipliers |
| topic | Dynamical Systems Algebraic Geometry Number Theory 37P05, 37P30 |
| url | https://arxiv.org/abs/2507.17643 |