Abstract
Abstract
We give a lattice-theoretic characterization for a manifold of
$\operatorname {\mathrm {OG10}}$
type to be birational to some moduli space of (twisted) sheaves on a K3 surface. We apply it to the Li–Pertusi–Zhao variety of
$\operatorname {\mathrm {OG10}}$
type associated to any smooth cubic fourfold. Moreover, we determine when a birational transformation is induced by an automorphism of the K3 surface, and we use this to classify all induced birational symplectic involutions.
Publisher
Cambridge University Press (CUP)
Cited by
1 articles.
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1. Symplectic rigidity of O’Grady’s tenfolds;Proceedings of the American Mathematical Society;2024-05-15