Zero Rank Asymptotic Bridgeland Stability

Victor Pretti

Zero Rank Asymptotic Bridgeland Stability

Algebraic Geometry 2021-04-20 v1

Authors: Victor Pretti

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.

Keywords

bridgeland stability conditions stability theory

Cite

@article{arxiv.2104.08946,
  title  = {Zero Rank Asymptotic Bridgeland Stability},
  author = {Victor Pretti},
  journal= {arXiv preprint arXiv:2104.08946},
  year   = {2021}
}

Comments

26 pages, 3 figures

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