O'Grady tenfolds as moduli spaces of sheaves
Algebraic Geometry
2024-04-19 v4
Abstract
We give a lattice-theoretic characterization for a manifold of 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 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.
Keywords
Cite
@article{arxiv.2303.07017,
title = {O'Grady tenfolds as moduli spaces of sheaves},
author = {Camilla Felisetti and Franco Giovenzana and Annalisa Grossi},
journal= {arXiv preprint arXiv:2303.07017},
year = {2024}
}
Comments
Final version. To appear in Forum of Mathematics, Sigma