Harder-Narasimhan categories
Algebraic Geometry
2007-07-02 v2 Category Theory
Abstract
We propose a generalization of Quillen's exact category -- arithmetic exact category and we discuss conditions on such categories under which one can establish the notion of Harder-Narasimhan filtrations and Harder-Narsimhan polygons. Furthermore, we show the functoriality of Harder-Narasimhan filtrations (indexed by ), which can not be stated in the classical setting of Harder and Narasimhan's formalism.
Cite
@article{arxiv.0706.2648,
title = {Harder-Narasimhan categories},
author = {Huayi Chen},
journal= {arXiv preprint arXiv:0706.2648},
year = {2007}
}