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

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.

14 pages. v2 and v3: revisions based on comments from the anonymous referees. v4 and v5: correction of typos in bibliography

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