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Almost Vector Bundles over Perfectoid Spaces

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2601.19655

Authors: Cui, Yuntong, Li, Guo, Jiang, Shuhan, Yu, Jiahong

Institutions: Chinese Academy of Sciences, Academy of Mathematics and Systems Science, Morningside College

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7125959474

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