Automorphisms of Hilbert schemes of Cayley's K3 surfaces

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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Main Author Lee, Kwangwoo
Format Journal Article
LanguageEnglish
Published 12.03.2024
Subjects
Mathematics - Algebraic Geometry
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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.
AbstractList 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.
Author Lee, Kwangwoo
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BackLink https://doi.org/10.48550/arXiv.2403.07399$$DView paper in arXiv
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Snippet 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...
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Title Automorphisms of Hilbert schemes of Cayley's K3 surfaces
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