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arXiv · 2104.08946

Zero Rank Asymptotic Bridgeland Stability

Victor Pretti
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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.

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Victor Pretti. 2021-04-18. Zero Rank Asymptotic Bridgeland Stability. https://arxiv.org/abs/2104.08946

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