On boundedness of periods of self maps of algebraic varieties
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914128305586176 |
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| author | Raha, Manodeep |
| author_facet | Raha, Manodeep |
| contents | Let $X$ be an algebraic variety over a field $K \subset \overline{\mathbb{Q}_p}$ and $f$ be a self map. When $K$ is a local field, the boundedness of $f$-periods in $X(K)$ is a well studied question. We will study the same question for certain infinite extensions over ${\mathbb{Q}}_p$ under some conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_05877 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On boundedness of periods of self maps of algebraic varieties Raha, Manodeep Number Theory Algebraic Geometry 11G35, 11G25, 37P55, 14G05 Let $X$ be an algebraic variety over a field $K \subset \overline{\mathbb{Q}_p}$ and $f$ be a self map. When $K$ is a local field, the boundedness of $f$-periods in $X(K)$ is a well studied question. We will study the same question for certain infinite extensions over ${\mathbb{Q}}_p$ under some conditions. |
| title | On boundedness of periods of self maps of algebraic varieties |
| topic | Number Theory Algebraic Geometry 11G35, 11G25, 37P55, 14G05 |
| url | https://arxiv.org/abs/2401.05877 |