Lower Bounds for Galois Orbits of periodic points for polarized endomorphisms
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912742657490944 |
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| author | Yap, Jit Wu Dinh, Tien-Cuong |
| author_facet | Yap, Jit Wu Dinh, Tien-Cuong |
| contents | Let $K$ be a number field, $X$ a smooth projective variety over $K$ and $f: X \to X$ a polarized endomorphism of degree $d \geq 2$. We prove an exponential lower bound on $[K(\Per_n):K]$, where $\Per_n$ is the set of $n$-periodic points, extending results of [Yap24] to higher dimensions. We also prove a quantitative rate of equidistribution for $\Per_n$ to the equilibrium measure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_02343 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lower Bounds for Galois Orbits of periodic points for polarized endomorphisms Yap, Jit Wu Dinh, Tien-Cuong Number Theory Dynamical Systems Let $K$ be a number field, $X$ a smooth projective variety over $K$ and $f: X \to X$ a polarized endomorphism of degree $d \geq 2$. We prove an exponential lower bound on $[K(\Per_n):K]$, where $\Per_n$ is the set of $n$-periodic points, extending results of [Yap24] to higher dimensions. We also prove a quantitative rate of equidistribution for $\Per_n$ to the equilibrium measure. |
| title | Lower Bounds for Galois Orbits of periodic points for polarized endomorphisms |
| topic | Number Theory Dynamical Systems |
| url | https://arxiv.org/abs/2512.02343 |