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.

Saved in:

Bibliographic Details
Main Author	Lee, Kwangwoo
Format	Journal Article
Language	English
Published	12.03.2024
Subjects	Mathematics - Algebraic Geometry
Online Access	Get full text

Cover

Loading…

More Information
Summary:	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.
DOI:	10.48550/arxiv.2403.07399