Almost Vector Bundles over Perfectoid Spaces

Yuntong Cui; Guo Li; Shuhan Jiang; Jiahong Yu

Almost Vector Bundles over Perfectoid Spaces

Algebraic Geometry 2026-01-28 v1 Number Theory

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

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.

Keywords

bundle theory vector bundles vector bundles and cohomology

Cite

@article{arxiv.2601.19655,
  title  = {Almost Vector Bundles over Perfectoid Spaces},
  author = {Yuntong Cui and Guo Li and Shuhan Jiang and Jiahong Yu},
  journal= {arXiv preprint arXiv:2601.19655},
  year   = {2026}
}