Abstract
In this article we make a few remarks about the geometry of the holomorphic symplectic manifold constructed by Lehn, Lehn, Sorger, and van Straten as a two-step contraction of the variety of twisted cubic curves on a cubic fourfold . We show that is birational to a component of the moduli space of stable sheaves in the Calabi–Yau subcategory of the derived category of . Using this description we deduce that the twisted cubics contained in a hyperplane section of give rise to a Lagrangian subvariety . For a generic choice of the hyperplane, is birational to the theta-divisor in the intermediate Jacobian .
Citation
Evgeny Shinder. Andrey Soldatenkov. "On the geometry of the Lehn–Lehn–Sorger–van Straten eightfold." Kyoto J. Math. 57 (4) 789 - 806, December 2017. https://doi.org/10.1215/21562261-2017-0014
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