4 papers · 1 filter
On the Surjectivity of the Geometric Sen Map of Perfectoid Torsors
Tian Qiu, Jiahong Yu
We study surjectivity of the geometric Sen map for perfectoid -torsors over smooth rigid analytic spaces over , where is a compact -adic Lie group. We const…
Lift-independence problem in the -adic Simpson correspondence for curves
Xiangyu Pan, Jiahong Yu
Let be a proper smooth rigid analytic variety over a complete algebraically closed -adic field . Fix a continuation of . Faltings, in t…
On some open problems in commutative algebra resolved by Rethlas
Jiedong Jiang, Yixiao Li, Zeming Sun +3
We report on a collection of open problems in commutative algebra and related areas that have been resolved (proved or disproved) using the Rethlas natural-language automated reaso…
Almost Vector Bundles over Perfectoid Spaces
Yuntong Cui, Guo Li, Shuhan Jiang +1
In this paper, we define vector bundles within the framework of almost mathematics (referred to as almost vector bundles) and establish the -descent theorem together with a stru…