Harder-Narasimhan games
Algebraic Geometry
2023-06-16 v1
Abstract
In this article, we study the notion of semi-stability and the Harder-Narasimhan filtration from a game-theoretic point of view. This allows us to provide a unified proof for the existence and uniqueness of the Harder-Narasimhan filtration in various settings and offer a conceptual interpretation for semi-stability conditions. As an application, we establish the existence and uniqueness of a coprimary filtration for modules of finite type over a commutative Noetherian ring and interpret it as a Harder-Narasimhan filtration.
Cite
@article{arxiv.2306.08283,
title = {Harder-Narasimhan games},
author = {Huayi Chen and Marion Jeannin},
journal= {arXiv preprint arXiv:2306.08283},
year = {2023}
}