Almost Vector Bundles over Perfectoid Spaces

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Yuntong Cui, Guo Li, Shuhan Jiang, Jiahong Yu
DOI: 10.48550/arxiv.2601.19655
Cited by: 0

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.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Homotopy and Cohomology in Algebraic Topology Advanced Algebra and Geometry

Publication details

Journal / source
arXiv (Cornell University)
Publication date
27 January 2026
Document type
Preprint