The article revisits birational and biregular automorphisms of the Hilbert scheme of points on a K3 surface from the perspective of derived categories. Under the assumption that the K3 surface is generic, the birational and biregular involutions induced by autoequivalences on the derived category of the underlying K3 surface are characterized.
Derived-natural automorphisms on Hilbert schemes of points on generic K3 surfaces / Z. Liu. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - 154:2(2026 Feb), pp. 599-614. [10.1090/proc/17489]
Derived-natural automorphisms on Hilbert schemes of points on generic K3 surfaces
Z. Liu
2026
Abstract
The article revisits birational and biregular automorphisms of the Hilbert scheme of points on a K3 surface from the perspective of derived categories. Under the assumption that the K3 surface is generic, the birational and biregular involutions induced by autoequivalences on the derived category of the underlying K3 surface are characterized.
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