paper

Stability Conditions and Maximal Green Sequences in Abelian Categories

arXiv:1805.04382

Abstract

In this paper we study the stability functions on abelian categories introduced by Rudakov in \cite{Ru} and their relation with torsion classes and maximal green sequences. Moreover we introduce a new kind of stability function which is compatible with the wall and chamber of the category.

Minor typos corrected. This paper is a revised version of one part of a preprint arXiv:1705.08227