Almost Vector Bundles over Perfectoid Spaces
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912852619558912 |
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| author | Cui, Yuntong Li, Guo Jiang, Shuhan Yu, Jiahong |
| author_facet | Cui, Yuntong Li, Guo Jiang, Shuhan Yu, Jiahong |
| contents | In this paper, we define vector bundles within the framework of almost mathematics (referred to as almost vector bundles) and establish the $v$-descent theorem together with a structure theorem for these bundles over perfectoid spaces. The proof yields several interesting intermediate results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_19655 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Almost Vector Bundles over Perfectoid Spaces Cui, Yuntong Li, Guo Jiang, Shuhan Yu, Jiahong Algebraic Geometry Number Theory In this paper, we define vector bundles within the framework of almost mathematics (referred to as almost vector bundles) and establish the $v$-descent theorem together with a structure theorem for these bundles over perfectoid spaces. The proof yields several interesting intermediate results. |
| title | Almost Vector Bundles over Perfectoid Spaces |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2601.19655 |