March 12, 2024Open Access

Automorphisms of Hilbert schemes of Cayley's K3 surfaces

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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 (Tue,) studied this question.

synapsesocial.com/papers/68e747e0b6db6435876c0bec https://doi.org/https://doi.org/10.48550/arxiv.2403.07399

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