Zero Rank Asymptotic Bridgeland Stability

Abstract

In this paper we examine the conditions that an object $E$ with ${\text{ch}}_0(E)=0$ has to satisfy in order for it to be asymptotically (semi)stable with regard to Weak or Bridgeland stability conditions. This notion turned out to be equivalent to sheaf Gieseker-Simpson (semi)stability or a dual of it, depending on the curve considered.

26 pages, 3 figures

References in corpus (1)

• Walls and asymptotics for Bridgeland stability conditions on 3-folds