A Harder-Narasimhan theory for Kisin modules
Number Theory
2020-09-29 v4 Algebraic Geometry
Abstract
We develop a Harder-Narasimhan theory for Kisin modules generalizing a similar theory for finite flat group schemes due to Fargues. We prove the tensor product theorem, i.e., that the tensor product of semi-stable objects is again semi-stable. We then apply the tensor product theorem to the study of Kisin varieties for arbitrary connected reductive groups.
Cite
@article{arxiv.1606.00914,
title = {A Harder-Narasimhan theory for Kisin modules},
author = {Brandon Levin and Carl Wang-Erickson},
journal= {arXiv preprint arXiv:1606.00914},
year = {2020}
}
Comments
51 pages, 4 figures. To appear in Algebraic Geometry