Zero-cycles and the Cayley-Oguiso automorphism
Algebraic Geometry
2024-04-23 v1
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 .
Cite
@article{arxiv.2404.13607,
title = {Zero-cycles and the Cayley-Oguiso automorphism},
author = {Gilberto Bini and Robert Laterveer},
journal= {arXiv preprint arXiv:2404.13607},
year = {2024}
}
Comments
15 pages, to appear in Annali dell'Universita di Ferrara, comments welcome