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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.01704 |
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| _version_ | 1866915829932621824 |
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| author | Du, Changjiang |
| author_facet | Du, Changjiang |
| contents | Let $K$ be a finite unramified extension of $\mathbb{Q}_p$, and $E$ a finite extension of $K$ with ring of integers $\mathcal{O}_E$. We define the overconvergence of multivariable $(φ_q,\mathcal{O}_K^{\times})$-modules over $A_{\mathrm{mv},E}$ and explore some basic properties. We prove the overconvergence at the perfectoid level using the geometry of relative Fargues-Fontaine curve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_01704 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The overconvergence of multivariable $(φ_q,\mathcal{O}_K^{\times})$-modules at the perfectoid level Du, Changjiang Number Theory Let $K$ be a finite unramified extension of $\mathbb{Q}_p$, and $E$ a finite extension of $K$ with ring of integers $\mathcal{O}_E$. We define the overconvergence of multivariable $(φ_q,\mathcal{O}_K^{\times})$-modules over $A_{\mathrm{mv},E}$ and explore some basic properties. We prove the overconvergence at the perfectoid level using the geometry of relative Fargues-Fontaine curve. |
| title | The overconvergence of multivariable $(φ_q,\mathcal{O}_K^{\times})$-modules at the perfectoid level |
| topic | Number Theory |
| url | https://arxiv.org/abs/2603.01704 |