零循环和卡莱-奥吉索自定态

Q2 Mathematics

Annali dell''Universita di Ferrara Pub Date : 2024-01-06 DOI:10.1007/s11565-023-00483-4

Gilberto Bini, Robert Laterveer

引用次数: 0

摘要

Cayley 和 Oguiso 构造了某些具有无穷阶自形化 g 的四元 K3 曲面 S。我们证明，当 g 是交映（或反交映）时，它在 S 的零周期周群的零度部分上起着同一（或减同一）的作用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Zero-cycles and the Cayley–Oguiso automorphism

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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来源期刊

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.