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On the geometry of the Lehn-Lehn-Sorger-van Straten eightfold. (English) Zbl 1391.14030

From the authors’ abstract: “In this article we make a few remarks about the geometry of the holomorphic symplectic manifold \(Z\) constructed by Lehn, Lehn, Sorger and van Straten as a two-step contraction of the variety of twisted cubic curves on a cubic fourfold \(Y\subset \mathbb{P}^{5}\). We show that \(Z\) is birational to a component of the moduli space of stable sheaves in the Calabi-Yau subcategory of the derived category of \(Y\).”

MSC:

14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
53C26 Hyper-Kähler and quaternionic Kähler geometry, “special” geometry
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