Automorphisms of Hilbert schemes of Cayley's K3 surfaces

Kwangwoo Lee

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arXiv · 2403.07399

Automorphisms of Hilbert schemes of Cayley's K3 surfaces

Kwangwoo Lee

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Abstract

We prove that the automorphism group of Hilbert square of a Cayley's K3 surface of Picard number 2 is the free product of three cyclic groups of order two. The generators are three Beauville involutions.

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Kwangwoo Lee. 2024-03-12. Automorphisms of Hilbert schemes of Cayley's K3 surfaces. https://arxiv.org/abs/2403.07399

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