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| Format: | Preprint |
| Published: |
2025
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| Online Access: | https://arxiv.org/abs/2511.17029 |
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| _version_ | 1866909916038430720 |
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| author | Yuan, Yijun |
| author_facet | Yuan, Yijun |
| contents | In this article, we study the descent of $(φ,τ)$-modules over perfectoid period rings in characteristic $p$ via Berger and Rozensztajn's theory of super-Hölder vectors. This is a generalization of their work on $(φ,Γ)$-modules. As an application, we answer a question of Caruso regarding the connection between $(φ,τ)$-modules and $(φ,Γ)$-modules without involving Galois representations as intermediaries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_17029 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Descent of $(φ,τ)$-modules in characteristic $p$ Yuan, Yijun Number Theory 11S15, 13J05, 22E35 In this article, we study the descent of $(φ,τ)$-modules over perfectoid period rings in characteristic $p$ via Berger and Rozensztajn's theory of super-Hölder vectors. This is a generalization of their work on $(φ,Γ)$-modules. As an application, we answer a question of Caruso regarding the connection between $(φ,τ)$-modules and $(φ,Γ)$-modules without involving Galois representations as intermediaries. |
| title | Descent of $(φ,τ)$-modules in characteristic $p$ |
| topic | Number Theory 11S15, 13J05, 22E35 |
| url | https://arxiv.org/abs/2511.17029 |