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Article Dans Une Revue Journal of Geometry and Physics Année : 2022

Zero rank asymptotic Bridgeland stability

Résumé

et X be a smooth projective threefold where the generalized Bogomolov-Gieseker inequality holds. In this paper we examine the conditions that an object E with ch0(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 equivalent to sheaf Giesker- Simpson (semi)stability or a dual of it, depending on the curve considered.
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Dates et versions

hal-03898602 , version 1 (14-12-2022)

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Victor Do Valle Pretti. Zero rank asymptotic Bridgeland stability. Journal of Geometry and Physics, 2022, 182, pp.104668. ⟨10.1016/j.geomphys.2022.104668⟩. ⟨hal-03898602⟩
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