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

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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Publication Details

Journal
Proceedings of the American Mathematical Society
Published
2025-12-03
DOI
https://doi.org/10.1090/proc/17489
Primary Topic
Algebraic Geometry and Number Theory
Type
article
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article

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

Ziqi Liu
Proceedings of the American Mathematical Society
Algebraic Geometry and Number Theory
article

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

Ziqi Liu
article en

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.

Proceedings of the American Mathematical SocietyVol. 154(2)
University of Milan (IT)
Openalex Percentile: Top 57%
Algebraic Geometry and Number Theory
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