Analysis of birational and biregular automorphisms in K3 surfaces highlights derived categories' role.
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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Liu et al. (2025) studied this question.
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