On the period of Lehn, Lehn, Sorger, and van Straten's symplectic eightfold

24 Mar 2020 Nicolas Addington Franco Giovenzana

For the irreducible holomorphic symplectic eightfold Z associated to a cubic fourfold Y not containing a plane, we show that a natural Abel-Jacobi map from H^4_prim(Y) to H^2_prim(Z) is a Hodge isometry. We describe the full H^2(Z) in terms of the Mukai lattice of the K3 category A of Y... (read more)

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  • ALGEBRAIC GEOMETRY