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arXiv · 2005.05187

On birational transformations of Hilbert schemes of points on K3 surfaces

Pietro Beri·Alberto Cattaneo
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Abstract

We classify the group of birational automorphisms of Hilbert schemes of points on algebraic K3 surfaces of Picard rank one. We study whether these automorphisms are symplectic or non-symplectic and if there exists a hyperkähler birational model on which they become biregular. We also present new geometrical constructions of these automorphisms.

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Pietro Beri, Alberto Cattaneo. 2022-09-26. On birational transformations of Hilbert schemes of points on K3 surfaces. https://doi.org/10.1007/s00209-021-02960-y

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