References & Citations
Mathematics > Algebraic Geometry
Title: Zero-cycles and the Cayley-Oguiso automorphism
(Submitted on 21 Apr 2024)
Abstract: Cayley and Oguiso have constructed certain quartic K3 surfaces $S$, with automorphisms $g$ of infinite order. We show that when $g$ is symplectic (resp. anti-symplectic), it acts as the identity (resp. minus the identity) on the degree zero part of the Chow group of zero-cycles of $S$.
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