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Zero-cycles and the Cayley-Oguiso automorphism

arXiv:2404.13607 · doi:10.1007/s11565-023-00483-4

Abstract

Cayley and Oguiso have constructed certain quartic K3 surfaces , with automorphisms of infinite order. We show that when 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 .

15 pages, to appear in Annali dell'Universita di Ferrara, comments welcome

Zero-cycles and the Cayley-Oguiso automorphism · wovepaper