Complex varieties with infinite Chow groups modulo 2

• 成果类型: Article
• 署名作者: Totaro, Burt
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2016.183.1.7
• 发表日期: 2016
• 页码: 363-375
• 关键词: cycles; map

摘要

For a very general principally polarized complex abelian 3-fold, the Chow group of algebraic cycles is infinite modulo every prime number. In particular, this gives the first examples of complex varieties with infinite Chow groups modulo 2.