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arXiv · 2501.08854

Derived-natural automorphisms on Hilbert schemes of points on generic K3 surfaces

Ziqi Liu
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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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Ziqi Liu. 2025-01-15. Derived-natural automorphisms on Hilbert schemes of points on generic K3 surfaces. https://doi.org/10.1090/proc/17489

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