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.
Bini, G., Laterveer, R. (2024). Zero-Cycles and the Cayley-Oguiso automorphism. ANNALI DELL'UNIVERSITÀ DI FERRARA. SCIENZE MATEMATICHE [10.1007/s11565-023-00483-4].
Zero-Cycles and the Cayley-Oguiso automorphism
Bini, Gilberto;
2024-01-06
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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