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arXiv · 2601.19655

Almost Vector Bundles over Perfectoid Spaces

Yuntong Cui·Guo Li·Shuhan Jiang·Jiahong Yu
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Abstract

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.

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Yuntong Cui, Guo Li, Shuhan Jiang, Jiahong Yu. 2026-01-27. Almost Vector Bundles over Perfectoid Spaces. https://arxiv.org/abs/2601.19655

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