On the Unipotent $p$-adic Simpson Correspondence
Algebraic Geometry
2024-03-08 v1
Abstract
The goal of this paper is to show a (derived) -adic Simpson correspondence for (locally) unipotent coefficients on smooth rigid-analytic varieties. Our results depend on a deformation to , and not on a choice of exponential (as required for more general coefficients). Our methods are inherently higher categorical, hinging on the theory of modules over -algebras.
Cite
@article{arxiv.2403.04565,
title = {On the Unipotent $p$-adic Simpson Correspondence},
author = {Thiago Solovera e Nery},
journal= {arXiv preprint arXiv:2403.04565},
year = {2024}
}
Comments
This paper is a modification of my master thesis at the University of Bonn, defended on March 2023