G-bundles on the absolute Fargues-Fontaine curve
Number Theory
2022-12-23 v2 Algebraic Geometry
Abstract
We prove that the category of ``vector bundles on the absolute Fargues--Fontaine curve'' (more precisely the category of sections over some discrete algebraically closed field of the -stack of vector bundles on the Fargues--Fontaine curve) is canonically equivalent to the category of isocrystals. We deduce a similar result for ``-bundles on the absolute Fargues--Fontaine curve'' for some reductive group as well as for sections of over classifying stacks for locally profinite groups.
Keywords
Cite
@article{arxiv.1606.01029,
title = {G-bundles on the absolute Fargues-Fontaine curve},
author = {Johannes Anschütz},
journal= {arXiv preprint arXiv:1606.01029},
year = {2022}
}
Comments
8 pages, completely rewritten version